M G Roberts

Summary

Affiliation: Massey University
Country: New Zealand

Publications

  1. doi request reprint Epidemic models with uncertainty in the reproduction number
    M G Roberts
    Infectious Disease Research Centre, Institute of Information and Mathematical Sciences, New Zealand Institute for Advanced Study, Massey University, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 66:1463-74. 2013
  2. doi request reprint 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 102904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 66:1045-64. 2013
  3. pmc 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
  4. pmc 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
  5. pmc 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
  6. pmc 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. pmc 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
  8. pmc 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
  9. pmc 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
  10. ncbi request reprint 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

Collaborators

Detail Information

Publications12

  1. doi request reprint Epidemic models with uncertainty in the reproduction number
    M G Roberts
    Infectious Disease Research Centre, Institute of Information and Mathematical Sciences, New Zealand Institute for Advanced Study, Massey University, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand
    J Math Biol 66:1463-74. 2013
    ..In solving both problems we demonstrate how the dynamical system is derived automatically via recurrence relationships, then solved numerically...
  2. doi request reprint 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 102904, 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...
  3. pmc 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)...
  4. pmc 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
    ....
  5. pmc 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...
  6. pmc 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. pmc 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
    ....
  8. pmc 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...
  9. pmc 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...
  10. ncbi request reprint 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...
  11. ncbi request reprint 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...
  12. ncbi request reprint 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...