Dynamically Modeling SARS and Other Newly Emerging Respiratory Illnesses: Past, Present, and Future

The emergence and rapid global spread of the severe acute respiratory syndrome (SARS) coronavirus in 2002–2003 prompted efforts by modelers to characterize SARS epidemiology and inform control policies. We overview and discuss models for emerging infectious diseases (EIDs), provide a critical survey of SARS modeling literature, and discuss promising future directions for research. We reconcile discrepancies between published estimates of the basic reproductive number R0 for SARS (a crucial epidemiologic parameter), discuss insights regarding SARS control measures that have emerged uniquely from a modeling approach, and argue that high priorities for future modeling of SARS and similar respiratory EIDs should include informing quarantine policy and better understanding the impact of population heterogeneity on transmission patterns.

[1]  M. Newman,et al.  Network theory and SARS: predicting outbreak diversity , 2004, Journal of Theoretical Biology.

[2]  T. Day Predicting Quarantine Failure Rates , 2004, Emerging infectious diseases.

[3]  B. C. Kwan,et al.  Severe acute respiratory syndrome in a hemodialysis patient , 2003, American Journal of Kidney Diseases.

[4]  W. Getz,et al.  Curtailing transmission of severe acute respiratory syndrome within a community and its hospital† , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[5]  Nicholas P. Jewell,et al.  Severe Acute Respiratory Syndrome: Temporal Stability and Geographic Variation in Death Rates and Doubling Times , 2003, Emerging infectious diseases.

[6]  P. Chan,et al.  Clinical presentations and outcome of severe acute respiratory syndrome in children , 2003, The Lancet.

[7]  Hadi Dowlatabadi,et al.  Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: an HIV Model, as an Example , 1994 .

[8]  J. Wallinga,et al.  Different Epidemic Curves for Severe Acute Respiratory Syndrome Reveal Similar Impacts of Control Measures , 2004, American journal of epidemiology.

[9]  M. Keeling,et al.  The effects of local spatial structure on epidemiological invasions , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[10]  F. Tanser,et al.  The application of geographical information systems to important public health problems in Africa , 2002, International journal of health geographics.

[11]  C. Fraser,et al.  Transmission Dynamics of the Etiological Agent of SARS in Hong Kong: Impact of Public Health Interventions , 2003, Science.

[12]  P. Wong,et al.  Clinical presentation and outcome of severe acute respiratory syndrome in dialysis patients , 2003, American Journal of Kidney Diseases.

[13]  Z. Munch,et al.  Tuberculosis transmission patterns in a high-incidence area: a spatial analysis. , 2003, The international journal of tuberculosis and lung disease : the official journal of the International Union against Tuberculosis and Lung Disease.

[14]  B. C. Choi,et al.  A simple approximate mathematical model to predict the number of severe acute respiratory syndrome cases and deaths , 2003, Journal of epidemiology and community health.

[15]  J. Hyman,et al.  Model Parameters and Outbreak Control for SARS , 2004, Emerging infectious diseases.

[16]  J. Hyman,et al.  The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda. , 2004, Journal of theoretical biology.

[17]  Obi L. Griffith,et al.  The Genome Sequence of the SARS-Associated Coronavirus , 2003, Science.

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

[19]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[20]  O. Chay,et al.  Severe acute respiratory syndrome in Singapore , 2004, Archives of Disease in Childhood.

[21]  Sze-Bi Hsu,et al.  SARS Outbreak, Taiwan, 2003 , 2004, Emerging infectious diseases.

[22]  R. Durrett,et al.  The Importance of Being Discrete (and Spatial) , 1994 .

[23]  O. Diekmann Mathematical Epidemiology of Infectious Diseases , 1996 .

[24]  Sarah E. Randolph,et al.  Studying the global distribution of infectious diseases using GIS and RS , 2003, Nature Reviews Microbiology.

[25]  K. Aihara,et al.  Transmission of severe acute respiratory syndrome in dynamical small-world networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  P E Fine,et al.  The transmission potential of monkeypox virus in human populations. , 1988, International journal of epidemiology.

[27]  J. Robins,et al.  Transmission Dynamics and Control of Severe Acute Respiratory Syndrome , 2003, Science.

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

[29]  Geoffrey I. Webb,et al.  Dynamics of bacterial phenotype selection in a colonized host , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[30]  M. E. Alexander,et al.  Modelling strategies for controlling SARS outbreaks , 2004, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[31]  A. Schuchat,et al.  Superspreading SARS Events, Beijing, 2003 , 2004, Emerging infectious diseases.

[32]  Guiyun Yan,et al.  Severe Acute Respiratory Syndrome Epidemic in Asia , 2003, Emerging infectious diseases.

[33]  D. Earn,et al.  Group interest versus self-interest in smallpox vaccination policy , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[34]  K. Chow,et al.  Association of ENOS polymorphism with basal peritoneal membrane function in uremic patients. , 2003, American journal of kidney diseases : the official journal of the National Kidney Foundation.

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

[36]  P. E. Kopp,et al.  Superspreading and the impact of individual variation on disease emergence Supplementary Information , 2005 .

[37]  C. Fraser,et al.  Epidemiological and genetic analysis of severe acute respiratory syndrome , 2004, The Lancet Infectious Diseases.

[38]  Lu-biao Chen,et al.  Mild Severe Acute Respiratory Syndrome , 2003, Emerging infectious diseases.

[39]  P. E. Kopp,et al.  Superspreading and the effect of individual variation on disease emergence , 2005, Nature.

[40]  F. Tanser,et al.  HIV heterogeneity and proximity of homestead to roads in rural South Africa: an exploration using a geographical information system , 2000, Tropical medicine & international health : TM & IH.

[41]  David L. Craft,et al.  Emergency response to a smallpox attack: The case for mass vaccination , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[42]  C. Fraser,et al.  Epidemiological determinants of spread of causal agent of severe acute respiratory syndrome in Hong Kong , 2003, The Lancet.

[43]  C. Fraser,et al.  Factors that make an infectious disease outbreak controllable. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[44]  R. Irizarry,et al.  Travelling waves in the occurrence of dengue haemorrhagic fever in Thailand , 2004, Nature.

[45]  Z Jezek,et al.  Stochastic model for interhuman spread of monkeypox. , 1987, American journal of epidemiology.

[46]  Michael Beasley,et al.  Use of remote sensing and a geographical information system in a national helminth control programme in Chad. , 2002, Bulletin of the World Health Organization.

[47]  D. Fleming,et al.  Severe acute respiratory syndrome--Singapore, 2003. , 2003, Releve epidemiologique hebdomadaire.

[48]  B T Grenfell,et al.  Individual-based perspectives on R(0). , 2000, Journal of theoretical biology.

[49]  Alison P. Galvani,et al.  Emerging Infections: What Have We Learned from SARS? , 2004, Emerging Infectious Diseases.

[50]  Steve Leach,et al.  Transmission potential of smallpox in contemporary populations , 2001, Nature.

[51]  D J Nokes,et al.  Evaluating the cost-effectiveness of vaccination programmes: a dynamic perspective. , 1999, Statistics in medicine.

[52]  Shigui Ruan,et al.  Simulating the SARS outbreak in Beijing with limited data , 2003, Journal of Theoretical Biology.

[53]  C. Dye,et al.  Modeling the SARS Epidemic , 2003, Science.

[54]  P. Kaye Infectious diseases of humans: Dynamics and control , 1993 .

[55]  H. Nishiura,et al.  EVIDENCE BASED PUBLIC HEALTH POLICY AND PRACTICE Modelling potential responses to severe acute respiratory syndrome in Japan: the role of initial attack size, precaution, and quarantine , 2005 .

[56]  J C Gaydos,et al.  Geographic epidemiology of gonorrhoea and chlamydia on a large military installation: application of a GIS system , 2002, Sexually transmitted infections.

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

[58]  Xinghuo Pang,et al.  Evaluation of control measures implemented in the severe acute respiratory syndrome outbreak in Beijing, 2003. , 2003, JAMA.

[59]  L. Poon,et al.  Clinical progression and viral load in a community outbreak of coronavirus-associated SARS pneumonia : a prospective study , 2003 .

[60]  Matt J Keeling,et al.  Contact tracing and disease control , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[61]  A L Lloyd,et al.  Realistic distributions of infectious periods in epidemic models: changing patterns of persistence and dynamics. , 2001, Theoretical population biology.

[62]  R. May Uses and Abuses of Mathematics in Biology , 2004, Science.

[63]  David L. Craft,et al.  Emergency response to an anthrax attack , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[64]  C. Fraser,et al.  Epidemiology, transmission dynamics and control of SARS: the 2002-2003 epidemic. , 2004, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[65]  Y. Guan,et al.  Coronavirus as a possible cause of severe acute respiratory syndrome , 2003, The Lancet.

[66]  Antoine Danchin,et al.  A double epidemic model for the SARS propagation , 2003, BMC infectious diseases.

[67]  Roy M. Anderson,et al.  Transmission dynamics of HIV infection , 1987, Nature.

[68]  G. Chowell,et al.  SARS outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism , 2003, Journal of Theoretical Biology.