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. 2002 Feb;78(1):7–12. doi: 10.1136/sti.78.1.7

An introduction to mathematical models in sexually transmitted disease epidemiology

G Garnett 1
PMCID: PMC1763694  PMID: 11872850

Abstract

Mathematical models serve a number of roles in understanding sexually transmitted infection epidemiology and control. This article seeks to provide the non-mathematician with a description of their construction and use and presents illustrative examples from sexually transmitted infection epidemiology.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Anderson R. M., Garnett G. P. Low-efficacy HIV vaccines: potential for community-based intervention programmes. Lancet. 1996 Oct 12;348(9033):1010–1013. doi: 10.1016/s0140-6736(96)07100-0. [DOI] [PubMed] [Google Scholar]
  2. Anderson R. M., Garnett G. P. Mathematical models of the transmission and control of sexually transmitted diseases. Sex Transm Dis. 2000 Nov;27(10):636–643. doi: 10.1097/00007435-200011000-00012. [DOI] [PubMed] [Google Scholar]
  3. Anderson R. M., May R. M., McLean A. R. Possible demographic consequences of AIDS in developing countries. Nature. 1988 Mar 17;332(6161):228–234. doi: 10.1038/332228a0. [DOI] [PubMed] [Google Scholar]
  4. Anderson R. M., Swinton J., Garnett G. P. Potential impact of low efficacy HIV-1 vaccines in populations with high rates of infection. Proc Biol Sci. 1995 Aug 22;261(1361):147–151. doi: 10.1098/rspb.1995.0129. [DOI] [PubMed] [Google Scholar]
  5. Bongaarts J. A model of the spread of HIV infection and the demographic impact of AIDS. Stat Med. 1989 Jan;8(1):103–120. doi: 10.1002/sim.4780080111. [DOI] [PubMed] [Google Scholar]
  6. Bowden F. J., Garnett G. P. Trichomonas vaginalis epidemiology: parameterising and analysing a model of treatment interventions. Sex Transm Infect. 2000 Aug;76(4):248–256. doi: 10.1136/sti.76.4.248. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Chin J., Lwanga S. K. Estimation and projection of adult AIDS cases: a simple epidemiological model. Bull World Health Organ. 1991;69(4):399–406. [PMC free article] [PubMed] [Google Scholar]
  8. Ferguson N. M., Garnett G. P. More realistic models of sexually transmitted disease transmission dynamics: sexual partnership networks, pair models, and moment closure. Sex Transm Dis. 2000 Nov;27(10):600–609. doi: 10.1097/00007435-200011000-00008. [DOI] [PubMed] [Google Scholar]
  9. Garnett G. P., Aral S. O., Hoyle D. V., Cates W., Jr, Anderson R. M. The natural history of syphilis. Implications for the transmission dynamics and control of infection. Sex Transm Dis. 1997 Apr;24(4):185–200. doi: 10.1097/00007435-199704000-00002. [DOI] [PubMed] [Google Scholar]
  10. Garnett G. P., Bowden F. J. Epidemiology and control and curable sexually transmitted diseases: opportunities and problems. Sex Transm Dis. 2000 Nov;27(10):588–599. doi: 10.1097/00007435-200011000-00007. [DOI] [PubMed] [Google Scholar]
  11. Garnett G. P., Mertz K. J., Finelli L., Levine W. C., St Louis M. E. The transmission dynamics of gonorrhoea: modelling the reported behaviour of infected patients from Newark, New Jersey. Philos Trans R Soc Lond B Biol Sci. 1999 Apr 29;354(1384):787–797. doi: 10.1098/rstb.1999.0431. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Garnett G. P., Røttingen J. A. Measuring the risk of HIV transmission. AIDS. 2001 Mar 30;15(5):641–643. doi: 10.1097/00002030-200103300-00015. [DOI] [PubMed] [Google Scholar]
  13. Ghani A. C., Garnett G. P. Risks of acquiring and transmitting sexually transmitted diseases in sexual partner networks. Sex Transm Dis. 2000 Nov;27(10):579–587. doi: 10.1097/00007435-200011000-00006. [DOI] [PubMed] [Google Scholar]
  14. Ghani A. C., Swinton J., Garnett G. P. The role of sexual partnership networks in the epidemiology of gonorrhea. Sex Transm Dis. 1997 Jan;24(1):45–56. doi: 10.1097/00007435-199701000-00009. [DOI] [PubMed] [Google Scholar]
  15. Grassly N. C., Garnett G. P., Schwartländer B., Gregson S., Anderson R. M. The effectiveness of HIV prevention and the epidemiological context. Bull World Health Organ. 2001;79(12):1121–1132. [PMC free article] [PubMed] [Google Scholar]
  16. Koopman J. S., Chick S. E., Riolo C. S., Adams A. L., Wilson M. L., Becker M. P. Modeling contact networks and infection transmission in geographic and social space using GERMS. Sex Transm Dis. 2000 Nov;27(10):617–626. doi: 10.1097/00007435-200011000-00010. [DOI] [PubMed] [Google Scholar]
  17. Korenromp E. L., Van Vliet C., Grosskurth H., Gavyole A., Van der Ploeg C. P., Fransen L., Hayes R. J., Habbema J. D. Model-based evaluation of single-round mass treatment of sexually transmitted diseases for HIV control in a rural African population. AIDS. 2000 Mar 31;14(5):573–593. doi: 10.1097/00002030-200003310-00013. [DOI] [PubMed] [Google Scholar]
  18. Kretzschmar M., van Duynhoven Y. T., Severijnen A. J. Modeling prevention strategies for gonorrhea and Chlamydia using stochastic network simulations. Am J Epidemiol. 1996 Aug 1;144(3):306–317. doi: 10.1093/oxfordjournals.aje.a008926. [DOI] [PubMed] [Google Scholar]
  19. Morris M., Kretzschmar M. Concurrent partnerships and the spread of HIV. AIDS. 1997 Apr;11(5):641–648. doi: 10.1097/00002030-199705000-00012. [DOI] [PubMed] [Google Scholar]
  20. Potterat J. J., Rothenberg R. B., Muth S. Q. Network structural dynamics and infectious disease propagation. Int J STD AIDS. 1999 Mar;10(3):182–185. doi: 10.1258/0956462991913853. [DOI] [PubMed] [Google Scholar]
  21. Wawer M. J., Sewankambo N. K., Serwadda D., Quinn T. C., Paxton L. A., Kiwanuka N., Wabwire-Mangen F., Li C., Lutalo T., Nalugoda F. Control of sexually transmitted diseases for AIDS prevention in Uganda: a randomised community trial. Rakai Project Study Group. Lancet. 1999 Feb 13;353(9152):525–535. doi: 10.1016/s0140-6736(98)06439-3. [DOI] [PubMed] [Google Scholar]

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