Journal
Roberts, MG. (2024). Infection thresholds for two interacting pathogens in a wild animal population.
Mathematical Biosciences. 375
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Ryan, M., Brindal, E., Roberts, M., & Hickson, RI. (2024). A behaviour and disease transmission model: Incorporating the Health Belief Model for human behaviour into a simple transmission model.
Journal of the Royal Society Interface. 21(215)
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Dimas Martins, A., Roberts, M., ten Bosch, Q., & Heesterbeek, H. (2024). Indirect interaction between an endemic and an invading pathogen: A case study of Plasmodium and Usutu virus dynamics in a shared bird host population.
Theoretical Population Biology. 157, 118-128
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Roberts, MG., Hickson, RI., & McCaw, JM. (2024). How immune dynamics shape multi-season epidemics: a continuous-discrete model in one dimensional antigenic space.
Journal of Mathematical Biology. 88(4)
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Toombs-Ruane, LJ., Marshall, JC., Benschop, J., Drinković, D., Midwinter, AC., Biggs, PJ., . . . Burgess, SA. (2023). Extended-spectrum β-lactamase- and AmpC β-lactamase-producing Enterobacterales associated with urinary tract infections in the New Zealand community: a case-control study.
International Journal of Infectious Diseases. 128, 325-334
[Journal article]Authored by: Benschop, J., Biggs, P., Burgess, S., Douwes, J., French, N., Marshall, J., Midwinter, A., Roberts, M.Read article at Massey Research Online:
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Vegvari, C., Abbott, S., Ball, F., Brooks-Pollock, E., Challen, R., Collyer, BS., . . . Trapman, P. (2022). Commentary on the use of the reproduction number R during the COVID-19 pandemic.
Statistical Methods in Medical Research. 31(9), 1675-1685
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, M., Dobson, A., Restif, O., & Wells, K. (2021). Challenges in modelling the dynamics of infectious diseases at the wildlife–human interface.
Epidemics. 37
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Roberts, MG., & Heesterbeek, JAP. (2021). Infection dynamics in ecosystems: On the interaction between red and grey squirrels, pox virus, pine martens and trees.
Journal of the Royal Society Interface. 18(183)
[Journal article]Authored by: Roberts, M.Read article at Massey Research Online:
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Zaidi, F., Ben-Tal, A., & Roberts, M. (2021). Is our breathing optimal? Solving a piecewise linear model with constraints.
Journal of Mathematical Biology. 83(4)
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG., Burgess, S., Toombs-Ruane, LJ., Benschop, J., Marshall, JC., & French, NP. (2021). Combining mutation and horizontal gene transfer in a within-host model of antibiotic resistance.
Mathematical Biosciences. 339
[Journal article]Authored by: Benschop, J., Burgess, S., French, N., Marshall, J., Roberts, M.Read Online:
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Toombs-Ruane, LJ., Benschop, J., French, NP., Biggs, PJ., Midwinter, AC., Marshall, JC., . . . Burgess, SA. (2020). Carriage of Extended-Spectrum-Beta-Lactamase- and AmpC Beta-Lactamase-Producing Escherichia coli Strains from Humans and Pets in the Same Households.
Applied and Environmental Microbiology. 86(24), 1-15
[Journal article]Authored by: Benschop, J., Biggs, P., Burgess, S., Douwes, J., Fayaz, A., French, N., Marshall, J., Midwinter, A., Roberts, M.Read article at Massey Research Online:
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Roberts, MG., & Heesterbeek, JAP. (2020). Characterizing reservoirs of infection and the maintenance of pathogens in ecosystems.
Journal of the Royal Society Interface. 17(162)
[Journal article]Authored by: Roberts, M.Read Online:
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McCulloch, K., Roberts, MG., & Laing, CR. (2019). Generalised probability mass function for the final epidemic size of an SIR model on a line of triangles network.
Mathematical Biosciences. 311, 49-61
[Journal article]Authored by: Laing, C., Roberts, M.Read Online:
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Roberts, MG., Hickson, RI., McCaw, JM., & Talarmain, L. (2019). A simple influenza model with complicated dynamics.
Journal of Mathematical Biology. 78(3), 607-624
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG., & Heesterbeek, JAP. (2018). Quantifying the dilution effect for models in ecological epidemiology.
Journal of the Royal Society Interface. 15(140)
[Journal article]Authored by: Roberts, M.Read Online:
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Babylon, AM., Roberts, MG., & Wake, GC. (2018). Modelling leptospirosis in livestock.
Theoretical Population Biology. 121, 26-32
[Journal article]Authored by: Roberts, M.Read Online:
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Hayman, DTS., Marshall, JC., French, NP., Carpenter, TE., Roberts, MG., & Kiedrzynski, T. (2017). Cost-benefit analyses of supplementary measles immunisation in the highly immunized population of New Zealand.
Vaccine. 35(37), 4913-4922
[Journal article]Authored by: French, N., Hayman, D., Marshall, J., Roberts, M.Read Online:
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Hayman, DTS., Marshall, JC., French, NP., Carpenter, TE., Roberts, MG., & Kiedrzynski, T. (2017). Global importation and population risk factors for measles in New Zealand: A case study for highly immunized populations.
Epidemiology and Infection. 145(9), 1875-1885
[Journal article]Authored by: French, N., Hayman, D., Marshall, J., Roberts, M.Read Online:
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Roberts, MG. (2017). An epidemic model with noisy parameters.
Mathematical Biosciences. 287, 36-41
[Journal article]Authored by: Roberts, M.Read Online:
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McCulloch, K., Roberts, MG., & Laing, CR. (2016). Exact analytical expressions for the final epidemic size of an sir model on small networks.
ANZIAM Journal. 57(4), 429-444
[Journal article]Authored by: Laing, C., Roberts, M.Read Online:
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Roberts, M., Andreasen, V., Lloyd, A., & Pellis, L. (2015). Nine challenges for deterministic epidemic models.
Epidemics. 10, 49-53
[Journal article]Authored by: Roberts, M.Read Online:
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Buhnerkempe, MG., Roberts, MG., Dobson, AP., Heesterbeek, H., Hudson, PJ., & Lloyd-Smith, JO. (2015). Eight challenges in modelling disease ecology in multi-host, multi-agent systems.
Epidemics. 10, 26-30
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, M., Andreasen, V., Lloyd, A., & Pellis, L. (2014). Nine challenges for deterministic epidemic models.
Epidemics.
[Journal article]Authored by: Roberts, M.Read Online:
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Heesterbeek, JAP., & Roberts, MG. (2015). How mathematical epidemiology became a field of biology: a commentary on Anderson and May (1981) 'The population dynamics of microparasites and their invertebrate hosts'.
Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 370(1666)
[Journal article]Authored by: Roberts, M.Read Online:
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Heesterbeek, H., Anderson, RM., Andreasen, V., Bansal, S., DeAngelis, D., Dye, C., . . . Wood, J. (2015). Modeling infectious disease dynamics in the complex landscape of global health.
Science. 347(6227)
[Journal article]Authored by: Roberts, M.Read Online:
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Buhnerkempe, MG., Roberts, MG., Dobson, AP., Heesterbeek, H., Hudson, PJ., & Lloyd-Smith, JO. (2014). Eight challenges in modelling disease ecology in multi-host, multi-agent systems.
Epidemics.
[Journal article]Authored by: Roberts, M.Read Online:
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Hickson, RI., & Roberts, MG. (2014). How population heterogeneity in susceptibility and infectivity influences epidemic dynamics.
Journal of Theoretical Biology. 350, 70-80
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG., & Heesterbeek, JAP. (2013). Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology.
Journal of Mathematical Biology. 66(4-5), 1045-1064
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG. (2013). Epidemic models with uncertainty in the reproduction number.
Journal of Mathematical Biology. 66(7), 1463-1474
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG. (2012). A two-strain epidemic model with uncertainty in the interaction.
ANZIAM Journal. 54(1-2), 108-115
[Journal article]Authored by: Roberts, M.Read Online:
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Simpson, JL., & Roberts, MG. (2012). Modelling the effect of vaccination on the meningococcal b epidemic in new zealand.
ANZIAM Journal. 54(1-2), 74-88
[Journal article]Authored by: Roberts, M.Read Online:
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Simpson, J., & Roberts, M. (2012). Modelling heterogeneous host immune response in a multi-strain system.
Journal of Theoretical Biology. 304, 60-65
[Journal article]Authored by: Roberts, M.Read Online:
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James, A., Brown, R., Basse, B., Bourdôt, GW., Lamoureaux, SL., Roberts, M., . . . Saville, DJ. (2011). Application of a spatial meta-population model with stochastic parameters to the management of the invasive grass Nassella trichotoma in North Canterbury, New Zealand.
Ecological Modelling. 222(4), 1030-1037
[Journal article]Authored by: Brown, R., Roberts, M.Read Online:
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Roberts, MG., & Nishiura, H. (2011). Early estimation of the reproduction number in the presence of imported cases: Pandemic influenza H1N1-2009 in New Zealand.
PLoS ONE. 6(5)
[Journal article]Authored by: Roberts, M.Read Online:
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Mann, J., & Roberts, M. (2011). Modelling the epidemiology of hepatitis B in New Zealand.
Journal of Theoretical Biology. 269(1), 266-272
[Journal article]Authored by: Roberts, M.Read Online:
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Diekmann, O., Heesterbeek, JAP., & Roberts, MG. (2010). The construction of next-generation matrices for compartmental epidemic models.
Journal of the Royal Society Interface. 7(47), 873-885
[Journal article]Authored by: Roberts, M.Read Online:
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Elvin, AJ., Laing, CR., McLachlan, RI., & Roberts, MG. (2010). Exploiting the Hamiltonian structure of a neural field model.
Physica D: Nonlinear Phenomena. 239(9), 537-546
[Journal article]Authored by: Laing, C., McLachlan, R., Roberts, M.Read Online:
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Fryer, HR., Frater, J., Duda, A., Roberts, MG., Phillips, RE., & McLean, AR. (2010). Modelling the evolution and spread of HIV immune escape mutants.
PLoS Pathogens. 6(11)
[Journal article]Authored by: Roberts, M.Read Online:
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Wilson, N., Baker, M., Jennings, L., Murdoch, D., Krause, K., Edwards, R., . . . Thornley, C. (2009). A design fault in New Zealand's health research funding system exposed by pandemic influenza.
New Zealand Medical Journal. 122(1304), 121-122
[Journal article]Authored by: Douwes, J., Johnston, D., Roberts, M.
Nishiura, H., & Roberts, MG. (2010). Estimation of the reproduction number for 2009 pandemic influenza A(H1N1) in the presence of imported cases.
Eurosurveillance. 15(29)
[Journal article]Authored by: Roberts, M.Read Abstract:
Nishiura, H., Klinkenberg, D., Roberts, M., & Heesterbeek, JAP. (2009). Early epidemiological assessment of the virulence of emerging infectious diseases: A case study of an influenza pandemic.
PLoS ONE. 4(8)
[Journal article]Authored by: Roberts, M.Read Online:
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Elvin, AJ., Laing, CR., & Roberts, MG. (2009). Transient Turing patterns in a neural field model.
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 79(1)
[Journal article]Authored by: Laing, C., Roberts, M.Read Online:
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Thornley, S., Bullen, C., & Roberts, M. (2008). Hepatitis B in a high prevalence New Zealand population: A mathematical model applied to infection control policy.
Journal of Theoretical Biology. 254(3), 599-603
[Journal article]Authored by: Roberts, M.Read Abstract:
Elvin, AJ., Laing, CR., & Roberts, MG. (2007). Global bifurcation in a neural field model.
Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 8-15
[Journal article]Authored by: Roberts, M.
Mann, JL., & Roberts, MG. (2007). Mathematical modelling of hepatitis B virus.
Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 29-35
[Journal article]Authored by: Roberts, M.
Siddiqui, SQ., & Roberts, MG. (2007). Backward bifurcation in epidemic models.
Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 45-51
[Journal article]Authored by: Roberts, M.
Zhao, Y., & Roberts, MG. (2007). Simulating epidemics on networks.
Research Letters in Information and Mathematical Sciences. 12(Institute of Information and Mathematical Sciences, Post-Graduate Conference Proceedings), 141-143
[Journal article]Authored by: Roberts, M.
Roberts, MG. (2007). The pluses and minuses of ℛ<inf>0</inf>.
Journal of the Royal Society Interface. 4(16), 949-961
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG., & Heesterbeek, JAP. (2007). Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection.
Journal of Mathematical Biology. 55(5-6), 803-816
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2007). The pluses and minuses of R₀.
Journal of the Royal Society Interface. , 1-13
[Journal article]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG. (2007). The type-reproduction number T in models for infectious disease control.
Mathematical Biosciences. 206(1), 3-10
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG., Baker, M., Jennings, LC., Sertsou, G., & Wilson, N. (2007). A model for the spread and control of pandemic influenza in an isolated geographical region.
Journal of the Royal Society Interface. 4(13), 325-330
[Journal article]Authored by: Roberts, M.Read Abstract:
Sertsou, G., Wilson, N., Baker, M., Nelson, P., & Roberts, MG. (2006). Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling.
THEORETICAL BIOLOGY AND MEDICAL MODELLING. 3,
[Journal article]Authored by: Roberts, M.Read Online:
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Sertsou, G., Wilson, N., Baker, M., Nelson, P., & Roberts, MG. (2006). Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling.
Theoretical Biology and Medical Modelling. 3
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2006). Modeling strategies for containing an invading infection.
Mathematical Population Studies. 13(4), 205-214
[Journal article]Authored by: Roberts, M.Read Abstract:
Aldis, GK., & Roberts, MG. (2005). An integral equation model for the control of a smallpox outbreak.
Mathematical Biosciences. 195(1), 1-22
[Journal article]Authored by: Roberts, M.Read Abstract:
Mann, J., & Roberts, MG. (2004). Modelling repeated epidemics with general infection kernels.
Research Letters in the Information and Mathematical Sciences. 6, 159-170
[Journal article]Authored by: Roberts, M.
Roberts, MG. (2004). Modelling strategies for minimizing the impact of an imported exotic infection.
Proceedings of the Royal Society B: Biological Sciences. 271(1555), 2411-2415
[Journal article]Authored by: Roberts, M.Read Online:
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Roberts, MG., & Heesterbeek, JAP. (2003). A new method for estimating the effort required to control an infectious disease.
Proceedings of the Royal Society B: Biological Sciences. 270(1522), 1359-1364
[Journal article]Authored by: Roberts, M.Read Abstract:
Fulford, GR., Roberts, MG., & Heesterbeek, JAP. (2002). The metapopulation dynamics of an infectious disease: tuberculosis in possums.
Theoretical Population Biology. 61(1), 15-29
[Journal article]Authored by: Roberts, M.
Roberts, MG. (2002). Measles: a mathematician on the spot.
New Zealand Science Review. 59, 89-92
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Tobias, MI. (2001). The use of multistate life-table models for improving population health.
IMA Journal of Mathematics Applied in Medicine and Biology. 18(2), 119-130
[Journal article]Authored by: Roberts, M.
Thompson, RCA., & Roberts, MG. (2001). Does pet parasite prophylaxis increase the rate of selection for drug resistance?.
Trends in Parasitology. 17(12), 576-578
[Journal article]Authored by: Roberts, M.
Tobias, MI., & Roberts, MG. (2001). Modelling physical activity: a multi-state life-table approach.
Australian and New Zealand Journal of Public Health. 25, 141-148
[Journal article]Authored by: Roberts, M.
Kao, RR., Leathwick, DM., Roberts, MG., & Sutherland, IA. (2000). Nematode parasites of sheep: a survey of epidemiological parameters and their application in a simple model.
Parasitology. 121, 85-103
[Journal article]Authored by: Roberts, M.
Roberts, MG. (2000). Can we prevent the next epidemic? The elimination of childhood diseases by mass vaccination.
Journal of Applied Mathematics and Decision Science. 4(2), 175-182
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Tobias, MI. (2000). Predicting and preventing measles epidemics in New Zealand: Application of a mathematical model.
Epidemiology and Infection. 124(2), 279-287
[Journal article]Authored by: Roberts, M.
Kao, RR., & Roberts, MG. (1999). A comparison of wildlife control and cattle vaccination as methods for the control of bovine tuberculosis.
Epidemiology and Infection. 122, 505-519
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1999). A Kermack-McKendrick model applied to an infectious disease in a natural population.
IMA Journal of Mathematics Applied in Medicine and Biology. 16(4), 319-332
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1999). The immunoepidemiology of nematode parasites of farmed animals: A mathematical approach.
Parasitology Today. 15(6), 246-251
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Saha, AK. (1999). The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission.
Applied Mathematics Letters. 12(1), 37-41
[Journal article]Authored by: Roberts, M.
Kao, RR., & Roberts, MG. (1998). Quarantine-based disease control in domesticated animal herds.
Applied Mathematics Letters. 11(4), 115-120
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP. (1998). A simple parasite model with complicated dynamics.
Journal of Mathematical Biology. 37, 272-290
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Kao, RR. (1998). The dynamics of an infectious disease in a population with birth pulses.
Mathematical Biosciences. 149, 23-36
[Journal article]Authored by: Roberts, M.
Kao, RR., Roberts, MG., & Ryan, TJ. (1997). A model of bovine tuberculosis control in domesticated cattle herds.
Proceedings of the Royal Society, Series B. 264, 1069-1076
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1997). Persistent drugs and anthelmintic resistance. Part 2..
New Zealand Journal of Zoology. 24, 298
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1997). Mathematical biology in New Zealand.
Biomathematics Newsletter. 16(16), 9-12
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1996). Bovine tuberculosis in possum populations, and its eradication or control by culling or vaccination.
Journal of Animal Ecology. 65, 451-464.
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Jowett, J. (1996). An SEI model with density dependent demographics and epidemiology.
IMA Journal of Mathematics Applied in Medicine and Biology. 13(4), 245-257
[Journal article]Authored by: Roberts, M.
Stankiewicz, M., Jowett, GH., Roberts, MG., Heath, DD., Cowan, P., Clark, JM., . . . Charleston, WAG. (1996). Internal and external parasites of possums (Trichosurus vulpecula) from forest and farmland, Wanganui, New Zealand.
New Zealand Journal of Zoology. 23(4), 345-353
[Journal article]Authored by: Roberts, M.Read Abstract:
Heesterbeek, JAP., & Roberts, MG. (1995). Threshold quantities for helminth infections.
Journal of Mathematical Biology. 33, 415-434
[Journal article]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG. (1995). Threshold quantities for infectious diseases in periodic environments.
Journal of Biological Systems. 3, 779-787
[Journal article]Authored by: Roberts, M.
Jonas, WE., Roberts, MG., Fisher, MG., & Stankiewicz, M. (1995). Sarcocystis muris: Changes in the number of mice with sarcocysts and median number of cysts observed after a single oral dose of sporocysts.
Acta Parasitologica. 40, 43-46
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1995). A pocket guide to host-parasite models.
Parasitology Today. 11, 172-177
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1995). The dynamics of a microbial disease in a wild animal population.
The New Zealand Statistician. 30, 89
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Aubert, MFA. (1995). A model for the control of Echinococcus multilocularis in France.
Veterinary Parasitology. 56, 67-74
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Dobson, AP. (1995). The population dynamics of communities of parasitic helminths.
Mathematical Biosciences. 126, 191-214
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP. (1995). The dynamics of nematode infections of farmed ruminants.
Parasitology. 110, 493-502
[Journal article]Authored by: Roberts, M.
Dobson, AP., & Roberts, MG. (1994). The population dynamics of parasitic helminth communities.
Parasitology. 109, S97-S108
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1994). Discussion in: Mollison,D., Isham,V. and Grenfell,B.T. Epidemics: Models and data..
Journal of the Royal Statistical Society, Series A. 157, 115-149
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1994). Modelling of parasitic populations: Cestodes.
Veterinary Parasitology. 54, 145-160
[Journal article]Authored by: Roberts, M.
Louie, K., Roberts, MG., & Wake, GC. (1994). The regulation of an age-structured population by a fatal disease.
Mathematical Medicine and Biology. 11(4), 229-244
[Journal article]Authored by: Roberts, M.Read Abstract:
Louie, K., Roberts, MG., & Wake, GC. (1994). The regulation of a dispersive age-structured population by a fatal disease.
Applied Mathematics Letters. 7(4), 79-83
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG., & Heesterbeek, JAP. (1993). Bluff your way in epidemic models.
Trends in Microbiology. 1, 343-348
[Journal article]Authored by: Roberts, M.
Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease.
Mathematical Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M.Read Online:
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Louie, K., Roberts, MG., & Wake, GC. (1993). Thresholds and stability analysis of models for the spatial spread of a fatal disease..
IMA Journal of Mathematics Applied in Medicine and Biology. 10(3), 207-226
[Journal article]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (1992). The dynamics and control of bovine tuberculosis in possums.
IMA Journal of Mathematics Applied in Medicine and Biology. 9, 19-28
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Grenfell, BT. (1992). The population dynamics of nematode infections of ruminants: The effect of seasonality in the free-living stages.
IMA Journal of Mathematics Applied in Medicine and Biology. 9, 29-41
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1991). Mathematical models for nematode parasites of ruminants.
Parasitology Today. 7, 4
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Grenfell, BT. (1991). The population dynamics of nematode infections of ruminants: Periodic perturbations as a model for management.
IMA Journal of Mathematics Applied in Medicine and Biology. 8, 83-93
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Tobias, MI. (1991). The short term prediction of AIDS incidence in New Zealand.
The New Zealand Statistician. 26, 2-9
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., Roberts, MG., & Griffin, JFT. (1990). Population dynamics in echinococcosis and cysticercosis: Regulation of Taenia hydatigena and T.ovis in lambs through passively transferred immunity.
Parasitology. 101, 145-151
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1990). A dynamic model for gastro-intestinal nematodes.
Bulletin de la Societe Francaise de Parasitologie. 8(Supplt. 2), 821
[Journal article]Authored by: Roberts, M.
Roberts, MG., & Tobias, MI. (1989). Short term prediction of HIV infection and AIDS in New Zealand.
The New Zealand Statistician. 25, 28
[Journal article]Authored by: Roberts, M.
Lawson, JR., Roberts, MG., Gemmell, MA., & Best, SJ. (1988). Population dynamics in echinococcosis and cysticercosis: Economic assessment of control strategies for Echinococcus granulosus, Taenia ovis and T.hydatigena.
Parasitology. 97, 177-191
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG. (1987). Population dynamics in echinococcosis and cysticercosis: Evaluation of the biological parameters of Taenia hydatigena and T.ovis and comparison with those of Echinococcus granulosus.
Parasitology. 94, 161-180
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG. (1987). Towards global control of cystic and alveolar hydatid diseases.
Parasitology Today. 3, 144-151
[Journal article]Authored by: Roberts, M.
Kane, DW., Phillips, RA., & Roberts, MG. (1987). A model of diurnal liveweight variation in hoggets.
New Zealand Journal of Experimental Agriculture. 15, 105-109
[Journal article]Authored by: Roberts, M.
Roberts, MG., Lawson, JR., & Gemmell, MA. (1987). Population dynamics in echinococcosis and cysticercosis: Mathematical model of the life cycles of Taenia hydatigena and T.ovis.
Parasitology. 94, 181-197
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Population dynamics in echinococcosis and cysticercosis: Biological parameters of Echinococcus granulosus.
Parasitology. 92, 599-620
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Control of echinicoccosis/hydatidosis: present status of world-wide progress.
Bulletin of the World Health Organisation. 64, 333-339
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG. (1986). Lutte contre l'echinococcose/hydatidose: situation actuelle dans le monde.
Bulletin of the World Health Organisation. 64, 625-631
[Journal article]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., Roberts, MG., Kerin, BR., & Mason, CJ. (1986). Population dynamics in echinococcosis and cysticercosis: Comparison of the response of Echinococcus granulosus and Taenia hydatigena and T.ovis to control.
Parasitology. 93, 357-369
[Journal article]Authored by: Roberts, M.
Roberts, MG., Lawson, JR., & Gemmell, MA. (1986). Population dynamics in echinococcosis and cysticercosis: Mathematical model of the life cycle of Echinococcus granulosus.
Parasitology. 92, 621-641
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1985). Stability in cyclic epidemic models.
Journal of Mathematical Biology. 22, 303-311
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1985). Epidemiology and control of hydatidosis and cysticercosis.
New Zealand Journal of Zoology. 12, 438
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1983). A model for parasite populations.
Mathematics Chronicle. 12, 165-166
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1983). Hard sums and parasites.
New Zealand Journal of Zoology. 10, 122
[Journal article]Authored by: Roberts, M.
Osborn, PJ., Heath, DD., & Roberts, MG. (1982). Vaccination of sheep against Taenia ovis. The response to various dose rates of antigens obtained by incubation of oncospheres in vitro.
Research in Veterinary Science. 32, 351-353
[Journal article]Authored by: Roberts, M.
Roberts, MG. (1982). Stability in a two host epidemic model.
Journal of Mathematical Biology. 14, 71-75
[Journal article]Authored by: Roberts, M.
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Book
Roberts, MG., & Heesterbeek, JAP. (2004). Mathematical models in epidemiology. In JA. Filar (Ed.)
Mathematical Models. Oxford: EOLSS Publishers Ltd.
[Chapter]Authored by: Roberts, M.
Cleaveland, S., Hess, GR., Dobson, AP., Laurenson, MK., McCallum, HI., Roberts, MG., . . . Woodroffe, R. (2002). The role of pathogens in biological conservation. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.)
The Ecology of Wildlife Diseases. (pp. 139 - 150). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.
Hess, GR., Randolph, SE., Arneberg, P., Chemini, C., Furlanello, C., Harwood, J., . . . Swinton, J. (2002). Spatial aspects of disease dynamics. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.)
The Ecology of Wildlife Diseases. (pp. 102 - 118). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.
Roberts, MG., Dobson, AP., Arneberg, P., de Leo, GA., Krecek, RC., Manfredi, MT., . . . Zaffaroni, E. (2002). Parasite community ecology and biodiversity. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.)
The Ecology of Wildlife Diseases. (pp. 63 - 82). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.
Swinton, J., Woolhouse, MEJ., Begon, ME., Dobson, AP., Ferroglio, E., Grenfell, BT., . . . Wilson, K. (2002). Microparasite transmission and persistence. In P. Hudson, A. Rizzoli, BT. Grenfell, JAP. Heesterbeek, & AP. Dobson (Eds.)
The Ecology of Wildlife Diseases. (pp. 83 - 101). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.
view more...
Gemmell, MA., Roberts, MG., Beard, TC., Campano Diaz, S., Lawson, JR., & Nonnemaker, JM. (2001). Control of Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.)
WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 195 - 204). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.
Gemmell, MA., Roberts, MG., Beard, TC., Campano Diaz, S., Lawson, JR., & Nonnemaker, JM. (2001). Formulating effective and cost-effective policies in the planning phase for permanent control of Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.)
WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 209 - 219). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.
Gemmell, MA., Roberts, MG., Beard, TC., & Lawson, JR. (2001). Quantitative epidemiology and transmission dynamics with special reference to Echinococcus granulosus. In J. Eckert, MA. Gemmell, FX. Meslin, & ZS. Pawlowski (Eds.)
WHO/OIE manual on echinococcosis in humans and animals: a public health problem of global concern. (pp. 143 - 156). Paris: World Organisation for Animal Health
[Chapter]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG. (2000). Epidemic models, deterministic. In MH. Gail, & J. Benichou (Eds.)
Encyclopedia of epidemiologic methods. (pp. 353 - 361). New York: Wiley
[Chapter]Authored by: Roberts, M.
Gemmell, MA., & Roberts, MG. (1998). Cystic echinococcosis (Echinococcus granulosus). In SR. Palmer, EJL. Soulsby, & DIH. Simpson (Eds.)
Zoonoses: Biology, clinical practice, and public health control. (pp. 665 - 688). Oxford: Oxford University Press
[Chapter]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG. (1998). Deterministic epidemic models. In P. Armitage, & T. Colton (Eds.)
Encyclopedia of Biostatistics. (pp. 1332 - 1340). New York: Wiley
[Chapter]Authored by: Roberts, M.
Roberts, MG. (1996). Hydatid disease. In VS. Isham, & GF. Medley (Eds.)
Models for Infectious Human Diseases, Their Structure and Relation to Data.. (pp. 388 - 391). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Roberts, MG., & Kao, RR. (1996). The value of modelling in animal vaccination programmes. In
Vaccination as a means for control of bovine tuberculosis. (pp. 41 - 44). Wallaceville: The Royal Society of New Zealand
[Chapter]Authored by: Roberts, M.
Wake, GC., Louie, K., & Roberts, MG. (1996). The regulation of an age-structured population by a fatal disease with or without dispersion. In M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, & H. Thieme (Eds.)
Differential Equations and Applications to Biology and to Industry. (pp. 553 - 561). Singapore: World Scientific Publishing Company
[Chapter]Authored by: Roberts, M.
Dye, C., Barlow, ND., Begon, M., Bowers, RG., Bolker, BM., Briggs, CJ., . . . Williams, B. (1995). Microparasite group report: persistence of microparasites in natural populations. In BT. Grenfell, & AP. Dobson (Eds.)
Ecology of Infectious Diseases in Natural Populations.. (pp. 90 - 122). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Gemmell, MA., & Roberts, MG. (1995). Modelling echinococcus life-cycles. In RCA. Thompson, & AJ. Lymberry (Eds.)
Echinococcus and Hydatid Disease. (pp. 333 - 354). Wallingford: CAB International
[Chapter]Authored by: Roberts, M.
Grenfell, BT., Dietz, K., & Roberts, MG. (1995). Modelling the immuno-epidemiology of macroparasites in naturally-fluctuating host populations. In BT. Grenfell, & AP. Dobson (Eds.)
Ecology of Infectious Diseases in Natural Populations.. (pp. 362 - 383). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG. (1995). Mathematical models for microparasites of wildlife. In BT. Grenfell, & AP. Dobson (Eds.)
Ecology of Infectious Diseases in Natural Populations.. (pp. 90 - 122). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Roberts, MG. (1995). The population dynamics of nematode infections of ruminants. In O. Arino, D. Axelrod, M. Kimmel, & M. Langlais (Eds.)
Theory of Epidemics. (pp. 357 - 365). Winnipeg: Wuerz Publishing
[Chapter]Authored by: Roberts, M.
Roberts, MG. (1995). Tuberculosis control in possums: Culling or vaccination?. In F. Griffin, & G. de Lisle (Eds.)
Tuberculosis in wildlife and domestic animals. (pp. 222 - 224). Dunedin: University of Otago Press
[Chapter]Authored by: Roberts, M.
Roberts, MG., Smith, G., & Grenfell, BT. (1995). Mathematical models for macroparasites of wildlife. In BT. Grenfell, & AP. Dobson (Eds.)
Ecology of Infectious Diseases in Natural Populations.. (pp. 177 - 208). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Smith, G., Basanez, MG., Dietz, K., Gemmell, MA., Grenfell, BT., Gulland, FMD., . . . Woolhouse, ME. (1995). Macroparasite group report: Problems in modelling the dynamics of macroparasitic systems. In BT. Grenfell, & AP. Dobson (Eds.)
Ecology of Infectious Diseases in Natural Populations.. (pp. 209 - 229). Cambridge: Cambridge University Press
[Chapter]Authored by: Roberts, M.
Roberts, MG., & Gemmell, MA. (1994). Echinococcosis. In ME. Scott, & G. Smith (Eds.)
Parasitic and Infectious Diseases: Epidemiology and Ecology.. (pp. 249 - 262). San Diego: Academic Press
[Chapter]Authored by: Roberts, M.
Lightowlers, MW., Gemmell, MA., Harrison, GLB., Heath, DD., Rickard, MD., & Roberts, MG. (1992). Control of tissue parasites. II. Cestodes. In WK. Yong (Ed.)
Animal Parasite Control Utilising Biotechnology.. (pp. 171 - 198). Ann Arbor: CRC Press
[Chapter]Authored by: Roberts, M.
Roberts, MG., Lawson, JR., & Gemmell, MA. (1986). Epidemiology and control of hydatidosis and cysticercosis. In IS. Francis, BJF. Manley, & FC. Lam (Eds.)
Pacific Statistical Congress. (pp. 460 - 463). Amsterdam: North-Holland
[Chapter]Authored by: Roberts, M.
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Conference
Zaidi, F., Ben-Tal, A., & Roberts, M. (2018).
Optimal Amplitude and Frequency of Breathing. Poster session presented at the meeting of SMB2018 Annual meeting of the Society for Mathematical Biology and Japanese Society for Mathematical Biology
[Conference Poster]Authored by: Roberts, M.
Roberts, MG. (2016). Biodiversity and the ecology of emerging infectious diseases. In R. Anderssen, P. Broadbridge, Y. Fukumoto, K. Kajiwara, M. Simpson, & I. Turner (Eds.)
Agriculture as a metaphor for creativity in all human endeavors. (pp. 14 - 16). Fukuoka: Forum of Mathematics for Industry 2016
[Conference Paper in Published Proceedings]Authored by: Roberts, M.
Roberts, MG.(2015, February). Exponential growth and the final size of an epidemic.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2014, September). Epidemic models with uncertainty – Application to influenza.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2014, December). Exponential Growth and the Final Size of an Epidemic.
.
[Conference]Authored by: Roberts, M.
view more...
Roberts, MG.(2013, February). How epidemiology interacts with ecology.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2013, April). Epidemic models and threshold quantities.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2013, June). Modelling the interaction between virus epidemiology and evolution.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2013, August). Deterministic models twenty years on: I. Spatially homogeneous models.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2013, September). Epidemic models with uncertainty.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2013, November). Epidemic models with uncertainty – Application to influenza.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP.(2013, November). How epidemiology interacts with ecology.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2012, January). Budding, bursting and escaping: interactions between a virus and the immune system.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2012, February). Measles: The New Zealand story.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2012, October). Epidemic generations and threshold quantities: the use of mathematical models to understand disease dynamics..
.
[Conference]Authored by: Roberts, M.
Roberts, MG.(2012, December). How epidemiology interacts with ecology.
.
[Conference]Authored by: Roberts, M.
Roberts, MG. (2011, September). Mathematical models for the evolution and transmission of a virus. Presented at
Australian Mathematical Society Conference. Wollongong.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, M. (2011, January). Epidemic models with uncertainty. Presented at
The 2011 Annual Australian and New Zealand Industrial and Applied Mathematics Conference. Glenelg, SA, Australia.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, M. (2011, May). Epidemic models with uncertainty. Presented at
Workshop on Discrete Mathematics and Probability in Networks and Population Biology. National University of Singapore, Singapore.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2010, June). Early estimation of epidemic parameters. Presented at
The Pandemic Influenza A(H1N1) Workshop. Health Research Council, Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2010, March). Virus evolution: Escaping immunity. Presented at
The International Conference on Mathematics, Evolution and Development. The Chinese Academy of Sciences, Shanghai, China.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2010, January). The concept of generation in epidemic models. Presented at
The 46th Applied Mathematics Conference (ANZIAM 2010). Queenstown, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2010, May). Next generation matrices and the type reproduction number: Beyond R₀. Presented at
The 3rd Conference of Computational and Mathematical Population Dynamics. Bordeaux, France.
[Conference Oral Presentation]Authored by: Roberts, M.
Mann, JL., & Roberts, MG. (2010, May). Modelling virus variants and invasion. Presented at
The 3rd Conference of Computational and Mathematical Population Dynamics. Bordeaux, France.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2010, January). Next generation matrices and the type reproduction number: Beyond R0. Presented at
Workshop on Epidemiology of Infectious Diseases: Emerging Challenges. National University of Singapore, Singapore.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG.(2009, November). The dynamics of seasonal influenza.
Design and analysis of infectious disease studies. (pp. 2685 - 2688).
[Conference]Authored by: Roberts, M.
Roberts, MG. (2009, March). The type reproduction number for emerging and evolving viruses. Presented at
Modelling and Data Analysis for Infectious Disease Control. Murramarang, New South Wales.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG.The dynamics of seasonal influenza.
. (pp. 2685 - 2688).
[Conference]Authored by: Roberts, M.Read Online:
Roberts, MG. (2009, December). Modelling pandemic influenza. Presented at
New Zealand Mathematics Colloquium 2009. Massey University, Auckland, New Zealand.
[Conference Oral Presentation]Authored by: Roberts, M.Read Abstract:
Roberts, MG. (2009, February). The dynamics of seasonal influenza. Presented at
45th Australia and New Zealand Industrial and Applied Mathematics Conference. Caloundra, QLD.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2009). The dynamics of seasonal influenza. In
45th Australia and New Zealand Industrial and Applied Mathematics Conference(pp. 49 - 49). : ANZIAM
[Conference Abstract]Authored by: Roberts, M.
Roberts, MG. (2008, October). Seasonal influenza in New Zealand. Presented at
Spatio-temporal and Network Modeling of Diseases III. University of Tubingen.
[Conference Oral Presentation]Authored by: Roberts, M.
Fryer, HR., Frater, AJ., Phillips, RE., Roberts, MG., & McLean, AR. (2008, December). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. Presented at
First International Conference on Infectious Disease Dynamics.. Asilomar, CA.
[Conference Oral Presentation]Authored by: Roberts, M.
Fryer, HR., Frater, AJ., Phillips, RE., Roberts, MG., & McLean, AR. (2008). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. In
First International Conference on Infectious Disease Dynamics.(pp. unpaged). : Elsevier
[Conference Abstract]Authored by: Roberts, M.
Roberts, MG. (2008, December). The type reproduction number for emerging and evolving viruses. Presented at
First International Conference on Infectious Disease Dynamics.. Asilomar, CA.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2008). The type reproduction number for emerging and evolving viruses. In
First International Conference on Infectious Disease Dynamics.(pp. 24 - 24). : Elsevier
[Conference Abstract]Authored by: Roberts, M.
Roberts, MG. (2008, June). Seasonal influenza - it's worth having a shot. Presented at
Applied Mathematics One-Day Meeting. University of Auckland, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2008, February). The evolution and transmission of a virus. Presented at
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) 2008 Annual Meeting. Katoomba, NSW.
[Conference Oral Presentation]Authored by: Roberts, M.
Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR.What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?.
. (pp. 18).
[Conference]Authored by: Roberts, M.
Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR.What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?.
. (pp. 73(139)).
[Conference]Authored by: Roberts, M.
Roberts, MG.Spatio-temporal and network modelling of diseases.
.
[Conference]Authored by: Roberts, M.
Roberts, MG. (2007, August). The pluses and minuses of R₀. Presented at
International Conference on BioMathematics. Institut Teknologi Bandung, Bandung, Indonesia.
[Conference Oral Presentation]Authored by: Roberts, M.
Fryer, HR., Frater, AJ., Roberts, MG., & McLean, AR. (2007, April). What can HLA frequencies and CTL escape mutant prevalences tell us about escape and reversion rates?. Presented at
14th International HIV Dynamics and Evolution Conference. Segovia, Spain.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2007, May). R₀ for networks and other structured populations. Presented at
Centre for Discrete Mathematics and Theoretical Computer Science (DIMACS) Workshop on Spatio-Temporal and Network Modeling of Diseases. Edinburgh, UK.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2007, April). Why is a weed like a virus?. Presented at
New Zealand Institute of Mathematics and its Applications (NZIMA) Workshop on Modelling Invasive Species and Weed Impact. Hanmer Springs, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2007, January). How to model a virus that doesn't (yet) exist. Presented at
Australian and New Zealand Industrial and Applied Mathematics Annual Conference. Fremantle, WA.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG.The evolution and transmission of a virus.
.
[Conference]Authored by: Roberts, M.
Roberts, MG. (2006, December). Modelling the evolution and transmission of a virus. Presented at
2006 New Zealand Mathematics Colloquium. University of Waikato, Hamilton, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2006, October). How to model a virus that doesn't (yet) exist. Presented at
9th Manawatu-Wellington Applied Mathematics Day. Massey University, Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Roberts, M.
Roberts, MG. (2006, December). A mathematical model for the within-host evolution and transmission of a virus. Presented at
Centre for Discrete Mathematics and Theoretical Computer Science (DIMACS) Workshop on Immuno-epidemiology. Rutgers University, Newark, NJ.
[Conference Oral Presentation]Authored by: Roberts, M.
Ghosh, M., & Roberts, MG.A comparative study of control strategies for bovine tuberculosis in possums.
.
[Conference]Authored by: Roberts, M.
Mann, JL., & Roberts, MG.To vaccinate or not to vaccinate?.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The evolution of an infectious disease.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Optimising vaccination strategies against measles and pertussis.
.
[Conference]Authored by: Roberts, M.
Aldis, GK., & Roberts, MG.A model for the control of a smallpox outbreak.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Modelling strategies for minimizing the impact of an imported exotic infection.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP.The type reproduction number for an infectious disease.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Invasion of exotic infections.
. (pp. 2634 - 2636).
[Conference]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP.Identification of reservoirs of infection.
. (pp. 2636 - 2638).
[Conference]Authored by: Roberts, M.
Roberts, MG., & North, H.Modelling the spread of wilding conifers.
. (pp. 103 - 114).
[Conference]Authored by: Roberts, M.
Scott, DJ., Ameratunga, S., Macmillan, A., Lennon, D., Stewart, J., Crengle, S., . . . Roberts, MG.The data analysis plan for the New Zealand meningitis B vaccination programme.
. (pp. 2639 - 2640).
[Conference]Authored by: Roberts, M.
Fulford, GD., & Roberts, MG.1D spread along a river bank of an infectious disease in a wildlife population.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.A measles epidemic controlled by a mathematical model.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.A mathematician in Asia - dining on dengue and supping with SARS.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Mathematical models for intestinal parasites.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.A threshold quantity for disease eradication - beyond R0.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., Fulford, G., & Heesterbeek, JAP.The metapopulation dynamics of an infectious disease.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Diabetes, sloth and obesity: models of population health.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.BSE: Mathematical modelling meets Brussels bureaucracy.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Models for predicting the outcome of an integrated vaccine and vector control programme.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The metapopulation dynamics of an infectious disease.
.
[Conference]Authored by: Roberts, M.
Wake, GC., Roberts, MG., Wall, DJ., & Yamamoto, S. (2001). Illustrative examples and theory of a Kermack-McKendrick model applied to infectious diseases.
IMA Conference on Mathematical Modelling and Statistical Analysis of Infectious Diseases. (pp. 201 - 205). Cardiff, UK
[Conference Paper in Published Proceedings]Authored by: Roberts, M.
Fulford, G., & Roberts, MG.Possum patches: developing a TB management tool.
. (pp. 33).
[Conference]Authored by: Roberts, M.
Roberts, MG.Does reduced chemotherapy imply reduced selection for resistance?.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Diabetes, sloth and obesity: IPRM models of population health.
.
[Conference]Authored by: Roberts, M.
Alban, L., Heim, D., de Koeijer, AA., Kreysa, J., & Roberts, MG.Assessment of the geographical risk of Bovine Spongiform Encephalopathy - a proposal.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP.A simple parasite model with complicated dynamics.
. (pp. 434).
[Conference]Authored by: Roberts, M.
Kao, RR., & Roberts, MG.A Simple Model of Nematode Parasites in Sheep - A Critical Examination of Experimental Parameters.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Nonlinear integral equations in epidemiology.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Animal diseases: their epidemiology and control.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Coexistence and competition in parasitic helminth communities.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Predicting and preventing measles epidemics in New Zealand.
. (pp. 43).
[Conference]Authored by: Roberts, M.
Dobson, AP., & Roberts, MG.Age-structured models of brucellosis in Yellowstone Bison.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.A simple parasite model with complicated dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The immunoepidemiology of parasites of farmed animals.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The dynamics of measles in New Zealand.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Possums, parasites and population dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Integral equation models in epidemiology.
.
[Conference]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG.Threshold quantities for helminth parasites in periodic environments.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Threshold quantities in parasite population dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The dynamics of a microbial disease in a wild animal population.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Can tuberculosis be eradicated from possum populations by culling or vaccination?.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Nematode population dynamics: all we need know is Q0.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Threshold quantities in parasite population dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The population dynamics of parasite communities, and their potential for control of the brush-tailed possum in New Zealand.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Heesterbeek, JAP.Threshold quantities in parasite population dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Wake, GC.Mathematical models help us to understand the epidemiology of bovine tuberculosis.
.
[Conference]Authored by: Roberts, M.
Heesterbeek, JAP., & Roberts, MG.Threshold properties for helminth infections.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.A model for the dynamics of parasite communities.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Dobson, AP.A model for the population dynamics of parasite communities.
.
[Conference]Authored by: Roberts, M.
Louie, K., Wake, GC., & Roberts, MG.Modelling the spatial spread of bovine tuberculosis in the possum population in New Zealand.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The population dynamics of nematode parasites: a can of worms.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.The population dynamics of nematode infections of ruminants.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., & Aubert, MFA.Foxes, rabies and Echinococcus multilocularis - a problem in integrated control.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Possum population dynamics.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.What drives nematode population dynamics?.
.
[Conference]Authored by: Roberts, M.
Roberts, MG.Mathematical modelling of echinococcus epidemiology.
.
[Conference]Authored by: Roberts, M.
Gemmell, MA., Roberts, MG., & Lawson, JR.Modelling the transmission dynamics of wildlife echinococcosis.
.
[Conference]Authored by: Roberts, M.
Roberts, MG., Gemmell, MA., & Lawson, JR.Prospects for modelling and controlling wildlife echinococcosis.
.
[Conference]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG.Control of Echinococcus granulosus in its domestic life cycle.
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[Conference]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG.Comparative problems of controlling Echinococcus granulosus and E.multilocularis.
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[Conference]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG.Failure in cysticercosis control: a case of surfeit of immunity.
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[Conference]Authored by: Roberts, M.
Lawson, JR., Roberts, MG., & Gemmell, MA.Options on the control and eradication of hydatidosis and cysticercosis in New Zealand.
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[Conference]Authored by: Roberts, M.
Roberts, MG., Lawson, JR., & Gemmell, MA.A mathematical model of Taeniid life cycles.
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[Conference]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG.Present status of world-wide progress in the control of echinococcosis/hydatidosis.
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[Conference]Authored by: Roberts, M.
Gemmell, MA., Lawson, JR., & Roberts, MG.Control of Taeniidae with high and low biotic potentials.
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[Conference]Authored by: Roberts, M.
Roberts, MG.The dynamics of seasonal influenza. In M. Eichner, E. Halloran, & P. O'Neill (Eds.)Vol. 48 (pp. 2685 - 2688). : Design and analysis of infectious disease studies
[Conference Paper in Published Proceedings]Authored by: Roberts, M.
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