Large-Scale Spatial-Transmission Models of Infectious Disease

During transmission of seasonal endemic diseases such as measles and influenza, spatial waves of infection have been observed between large distant populations. Also, during the initial stages of an outbreak of a new or reemerging pathogen, disease incidence tends to occur in spatial clusters, which makes containment possible if you can predict the subsequent spread of disease. Spatial models are being used with increasing frequency to help characterize these large-scale patterns and to evaluate the impact of interventions. Here, I review several recent studies on four diseases that show the benefits of different methodologies: measles (patch models), foot-and-mouth disease (distance-transmission models), pandemic influenza (multigroup models), and smallpox (network models). This review highlights the importance of the household in spatial studies of human diseases, such as smallpox and influenza. It also demonstrates the need to develop a simple model of household demographics, so that these large-scale models can be extended to the investigation of long–time scale human pathogens, such as tuberculosis and HIV.

[1]  C. Dolea,et al.  World Health Organization , 1949, International Organization.

[2]  L. A. Rvachev,et al.  A mathematical model for the global spread of influenza , 1985 .

[3]  I M Longini,et al.  Predicting the global spread of new infectious agents. , 1986, American journal of epidemiology.

[4]  R. May,et al.  The spread of HIV-1 in Africa: sexual contact patterns and the predicted demographic impact of AIDS , 1991, Nature.

[5]  B. Bolker,et al.  Impact of vaccination on the spatial correlation and persistence of measles dynamics. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[6]  T. Quinn,et al.  Global burden of the HIV pandemic , 1996, The Lancet.

[7]  R. Durrett,et al.  From individuals to epidemics. , 1996, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[8]  S. Levin,et al.  Mathematical and Computational Challenges in Population Biology and Ecosystems Science , 1997, Science.

[9]  B. T. Grenfell,et al.  Disease Extinction and Community Size: Modeling the Persistence of Measles , 1997, Science.

[10]  H. Hethcote,et al.  An age-structured model for pertussis transmission. , 1997, Mathematical biosciences.

[11]  J. E. Dobson,et al.  LandScan: A Global Population Database for Estimating Populations at Risk , 2000 .

[12]  Philip M. Haygarth,et al.  Biogeochemistry: Phosphorus solubilization in rewetted soils , 2001, Nature.

[13]  Christl A. Donnelly,et al.  Transmission intensity and impact of control policies on the foot and mouth epidemic in Great Britain , 2001, Nature.

[14]  S. Cornell,et al.  Dynamics of the 2001 UK Foot and Mouth Epidemic: Stochastic Dispersal in a Heterogeneous Landscape , 2001, Science.

[15]  O. Bjørnstad,et al.  Travelling waves and spatial hierarchies in measles epidemics , 2001, Nature.

[16]  Christl A. Donnelly,et al.  The Foot-and-Mouth Epidemic in Great Britain: Pattern of Spread and Impact of Interventions , 2001, Science.

[17]  J.A.P. Heesterbeek.  A Brief History of R0 and a Recipe for its Calculation , 2002, Acta biotheoretica.

[18]  R. May,et al.  Modelling vaccination strategies against foot-and-mouth disease , 2003, Nature.

[19]  N. Ferguson,et al.  Planning for smallpox outbreaks , 2003, Nature.

[20]  Aravind Srinivasan,et al.  Modelling disease outbreaks in realistic urban social networks , 2004, Nature.

[21]  T. Geisel,et al.  Forecast and control of epidemics in a globalized world. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[22]  J. Robins,et al.  Transmissibility of 1918 pandemic influenza , 2004, Nature.

[23]  B G Williams,et al.  The impact of HIV/AIDS on the control of tuberculosis in India. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[24]  A. Nizam,et al.  Containing Pandemic Influenza at the Source , 2005, Science.

[25]  Stephen S Morse,et al.  Epidemiological evidence of an early wave of the 1918 influenza pandemic in New York City. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[26]  D. Cummings,et al.  Strategies for containing an emerging influenza pandemic in Southeast Asia , 2005, Nature.

[27]  Mark A. Miller,et al.  Synchrony, Waves, and Spatial Hierarchies in the Spread of Influenza , 2006, Science.

[28]  Rob Deardon,et al.  Optimal reactive vaccination strategies for a foot-and-mouth outbreak in the UK , 2006, Nature.

[29]  S. Riley,et al.  Smallpox transmission and control: Spatial dynamics in Great Britain , 2006, Proceedings of the National Academy of Sciences.

[30]  W. Edmunds,et al.  Delaying the International Spread of Pandemic Influenza , 2006, PLoS medicine.

[31]  N. Ferguson,et al.  Will travel restrictions control the international spread of pandemic influenza? , 2006, Nature Medicine.

[32]  C. Macken,et al.  Mitigation strategies for pandemic influenza in the United States. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[33]  D. Cummings,et al.  Strategies for mitigating an influenza pandemic , 2006, Nature.

[34]  T. Geisel,et al.  The scaling laws of human travel , 2006, Nature.

[35]  C. Fraser,et al.  Reducing the impact of the next influenza pandemic using household-based public health interventions. , 2006, Hong Kong medical journal = Xianggang yi xue za zhi.