M G Roberts

Summary

Affiliation: Massey University
Country: New Zealand

Publications

  1. ncbi Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology
    M G Roberts
    Institute of Information and Mathematical Sciences, New Zealand Institute for Advanced Study, and Infectious Disease Research Centre, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 66:1045-64. 2013
  2. ncbi Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling
    Gabriel Sertsou
    Department of Public Health, Wellington School of Medicine and Health Sciences, University of Otago, Wellington, New Zealand
    Theor Biol Med Model 3:38. 2006
  3. ncbi Modelling strategies for minimizing the impact of an imported exotic infection
    M G Roberts
    Institute of Information and Mathematical Sciences, Massey University, North Shore Mail Centre, Auckland, New Zealand
    Proc Biol Sci 271:2411-5. 2004
  4. ncbi A new method for estimating the effort required to control an infectious disease
    M G Roberts
    Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    Proc Biol Sci 270:1359-64. 2003
  5. ncbi A model for the spread and control of pandemic influenza in an isolated geographical region
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Auckland, New Zealand
    J R Soc Interface 4:325-30. 2007
  6. ncbi The pluses and minuses of R0
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J R Soc Interface 4:949-61. 2007
  7. ncbi Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 55:803-16. 2007
  8. ncbi Early estimation of the reproduction number in the presence of imported cases: pandemic influenza H1N1-2009 in New Zealand
    Michael George Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Auckland, New Zealand
    PLoS ONE 6:e17835. 2011
  9. ncbi An integral equation model for the control of a smallpox outbreak
    G K Aldis
    School of Physical, Environmental and Mathematical Sciences, University of NSW at ADFA, Canberra, ACT 2600, Australia
    Math Biosci 195:1-22. 2005
  10. ncbi The type-reproduction number T in models for infectious disease control
    J A P Heesterbeek
    Faculty of Veterinary Medicine, University of Utrecht, Yalelaan 7, 3584 CL, Utrecht, The Netherlands
    Math Biosci 206:3-10. 2007

Collaborators

Detail Information

Publications11

  1. ncbi Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology
    M G Roberts
    Institute of Information and Mathematical Sciences, New Zealand Institute for Advanced Study, and Infectious Disease Research Centre, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 66:1045-64. 2013
    ..It is shown that regions for the parameter values exist where the two host species are only able to coexist when the pathogen is present to mediate the ecological interaction...
  2. ncbi Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling
    Gabriel Sertsou
    Department of Public Health, Wellington School of Medicine and Health Sciences, University of Otago, Wellington, New Zealand
    Theor Biol Med Model 3:38. 2006
    ..To estimate the key transmission parameters associated with an outbreak of pandemic influenza in an institutional setting (New Zealand 1918)...
  3. ncbi Modelling strategies for minimizing the impact of an imported exotic infection
    M G Roberts
    Institute of Information and Mathematical Sciences, Massey University, North Shore Mail Centre, Auckland, New Zealand
    Proc Biol Sci 271:2411-5. 2004
    ..The model's use in the design of strategies to minimize the risk of SARS in a previously unexposed community is demonstrated...
  4. ncbi A new method for estimating the effort required to control an infectious disease
    M G Roberts
    Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    Proc Biol Sci 270:1359-64. 2003
    ..These insights cannot be obtained by using R0 alone...
  5. ncbi A model for the spread and control of pandemic influenza in an isolated geographical region
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Auckland, New Zealand
    J R Soc Interface 4:325-30. 2007
    ....
  6. ncbi The pluses and minuses of R0
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J R Soc Interface 4:949-61. 2007
    ..These three statements are not universally true. In this paper, some exceptions to them are discussed, based on the extensions of the SIR model...
  7. ncbi Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection
    M G Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 55:803-16. 2007
    ..We show that one has to be careful when using observed exponential growth rates to derive an estimate of R0, and we quantify the discrepancies that arise...
  8. ncbi Early estimation of the reproduction number in the presence of imported cases: pandemic influenza H1N1-2009 in New Zealand
    Michael George Roberts
    Centre for Mathematical Biology, Institute of Information and Mathematical Sciences, Massey University, Auckland, New Zealand
    PLoS ONE 6:e17835. 2011
    ....
  9. ncbi An integral equation model for the control of a smallpox outbreak
    G K Aldis
    School of Physical, Environmental and Mathematical Sciences, University of NSW at ADFA, Canberra, ACT 2600, Australia
    Math Biosci 195:1-22. 2005
    ..This could be used in conjunction with the vaccination of healthcare workers and contacts. Our results suggest that prior mass vaccination would be an inefficient method of containing an outbreak...
  10. ncbi The type-reproduction number T in models for infectious disease control
    J A P Heesterbeek
    Faculty of Veterinary Medicine, University of Utrecht, Yalelaan 7, 3584 CL, Utrecht, The Netherlands
    Math Biosci 206:3-10. 2007
    ..In this paper we further develop the new threshold quantity as an indicator of control effort required in a system where multiple types of individuals are recognised when control targets a specific type...
  11. ncbi The metapopulation dynamics of an infectious disease: tuberculosis in possums
    G R Fulford
    AgResearch, Wallaceville Animal Research Centre, Upper Hutt, New Zealand
    Theor Popul Biol 61:15-29. 2002
    ..Three scenarios are considered for the control of bovine tuberculosis in possums where the spatial aspect is shown to be crucial for the design of disease management operations...