Abstract
The global epidemic of severe acute respiratory syndrome (SARS) in 2003 demonstrated the need to determine control strategies for exotic infections. The prior determination of such strategies, and the use of mathematical models to assist this, is hampered by the obvious lack of data. We propose an integral equation model of Kermack-McKendrick type that may be used to compare strategies based on the isolation of infectious individuals. The model structures the incidence of infection according to the location of an infected individual at exposure, and requires knowledge of the infectivity kernel and the initial rate of exponential increase of cases. The model's use in the design of strategies to minimize the risk of SARS in a previously unexposed community is demonstrated.
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- Chowell G., Fenimore P. W., Castillo-Garsow M. A., Castillo-Chavez C. SARS outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism. J Theor Biol. 2003 Sep 7;224(1):1–8. doi: 10.1016/S0022-5193(03)00228-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ferguson Neil M., Keeling Matt J., Edmunds W. John, Gani Raymond, Grenfell Bryan T., Anderson Roy M., Leach Steve. Planning for smallpox outbreaks. Nature. 2003 Oct 16;425(6959):681–685. doi: 10.1038/nature02007. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fraser Christophe, Riley Steven, Anderson Roy M., Ferguson Neil M. Factors that make an infectious disease outbreak controllable. Proc Natl Acad Sci U S A. 2004 Apr 7;101(16):6146–6151. doi: 10.1073/pnas.0307506101. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Gani R., Leach S. Transmission potential of smallpox in contemporary populations. Nature. 2001 Dec 13;414(6865):748–751. doi: 10.1038/414748a. [DOI] [PubMed] [Google Scholar]
- Kermack W. O., McKendrick A. G. Contributions to the mathematical theory of epidemics--III. Further studies of the problem of endemicity. 1933. Bull Math Biol. 1991;53(1-2):89–118. doi: 10.1007/BF02464425. [DOI] [PubMed] [Google Scholar]
- Lingappa Jairam R., McDonald L. Clifford, Simone Patricia, Parashar Umesh D. Wrestling SARS from uncertainty. Emerg Infect Dis. 2004 Feb;10(2):167–170. doi: 10.3201/eid1002.031032. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lipsitch Marc, Cohen Ted, Cooper Ben, Robins James M., Ma Stefan, James Lyn, Gopalakrishna Gowri, Chew Suok Kai, Tan Chorh Chuan, Samore Matthew H. Transmission dynamics and control of severe acute respiratory syndrome. Science. 2003 May 23;300(5627):1966–1970. doi: 10.1126/science.1086616. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lloyd-Smith James O., Galvani Alison P., Getz Wayne M. Curtailing transmission of severe acute respiratory syndrome within a community and its hospital. Proc Biol Sci. 2003 Oct 7;270(1528):1979–1989. doi: 10.1098/rspb.2003.2481. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Longini Ira M., Jr, Halloran M. Elizabeth, Nizam Azhar, Yang Yang. Containing pandemic influenza with antiviral agents. Am J Epidemiol. 2004 Apr 1;159(7):623–633. doi: 10.1093/aje/kwh092. [DOI] [PubMed] [Google Scholar]
- Pearson Helen, Clarke Tom, Abbott Alison, Knight Jonathan, Cyranoski David. SARS: what have we learned? Nature. 2003 Jul 10;424(6945):121–126. doi: 10.1038/424121a. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Riley Steven, Fraser Christophe, Donnelly Christl A., Ghani Azra C., Abu-Raddad Laith J., Hedley Anthony J., Leung Gabriel M., Ho Lai-Ming, Lam Tai-Hing, Thach Thuan Q. Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions. Science. 2003 May 23;300(5627):1961–1966. doi: 10.1126/science.1086478. [DOI] [PubMed] [Google Scholar]
- Roberts M. G., Tobias M. I. Predicting and preventing measles epidemics in New Zealand: application of a mathematical model. Epidemiol Infect. 2000 Apr;124(2):279–287. doi: 10.1017/s0950268899003556. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Wallinga Jacco, Teunis Peter. Different epidemic curves for severe acute respiratory syndrome reveal similar impacts of control measures. Am J Epidemiol. 2004 Sep 15;160(6):509–516. doi: 10.1093/aje/kwh255. [DOI] [PMC free article] [PubMed] [Google Scholar]