Abstract
Contact tracing, followed by treatment or isolation, is a key control measure in the battle against infectious diseases. It is an extreme form of locally targeted control, and as such has the potential to be highly efficient when dealing with low numbers of cases. For this reason it is frequently used to combat sexually transmitted diseases and new invading pathogens. Accurate modelling of contact tracing requires explicit information about the disease-transmission pathways from each individual, and hence the network of contacts. Here, pairwise-approximation methods and full stochastic simulations are used to investigate the utility of contact tracing. A simple relationship is found between the efficiency of contact tracing necessary for eradication and the basic reproductive ratio of the disease. This holds for a wide variety of realistic situations including heterogeneous networks containing core-groups or super-spreaders, and asymptomatic individuals. Clustering (transitivity) within the transmission network is found to destroy the relationship, requiring lower efficiency than predicted.
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Selected References
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- Bauch C., Rand D. A. A moment closure model for sexually transmitted disease transmission through a concurrent partnership network. Proc Biol Sci. 2000 Oct 7;267(1456):2019–2027. doi: 10.1098/rspb.2000.1244. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Clarke J. Contact tracing for chlamydia: data on effectiveness. Int J STD AIDS. 1998 Apr;9(4):187–191. doi: 10.1258/0956462981921945. [DOI] [PubMed] [Google Scholar]
- Diekmann O., Heesterbeek J. A., Metz J. A. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J Math Biol. 1990;28(4):365–382. doi: 10.1007/BF00178324. [DOI] [PubMed] [Google Scholar]
- Donnelly Christl A., Ghani Azra C., Leung Gabriel M., Hedley Anthony J., Fraser Christophe, Riley Steven, Abu-Raddad Laith J., Ho Lai-Ming, Thach Thuan-Quoc, Chau Patsy. Epidemiological determinants of spread of causal agent of severe acute respiratory syndrome in Hong Kong. Lancet. 2003 May 24;361(9371):1761–1766. doi: 10.1016/S0140-6736(03)13410-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Edmunds W. J., O'Callaghan C. J., Nokes D. J. Who mixes with whom? A method to determine the contact patterns of adults that may lead to the spread of airborne infections. Proc Biol Sci. 1997 Jul 22;264(1384):949–957. doi: 10.1098/rspb.1997.0131. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ferguson N. M., Donnelly C. A., Anderson R. M. The foot-and-mouth epidemic in Great Britain: pattern of spread and impact of interventions. Science. 2001 Apr 12;292(5519):1155–1160. doi: 10.1126/science.1061020. [DOI] [PubMed] [Google Scholar]
- 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]
- Fine P. E., Clarkson J. A. Measles in England and Wales--III: Assessing published predictions of the impact of vaccination on incidence. Int J Epidemiol. 1983 Sep;12(3):332–339. doi: 10.1093/ije/12.3.332. [DOI] [PubMed] [Google Scholar]
- FitzGerald M. R., Thirlby D., Bedford C. A. The outcome of contact tracing for gonorrhoea in the United Kingdom. Int J STD AIDS. 1998 Nov;9(11):657–660. doi: 10.1258/0956462981921305. [DOI] [PubMed] [Google Scholar]
- Halloran M. Elizabeth, Longini Ira M., Jr, Nizam Azhar, Yang Yang. Containing bioterrorist smallpox. Science. 2002 Nov 15;298(5597):1428–1432. doi: 10.1126/science.1074674. [DOI] [PubMed] [Google Scholar]
- Haydon D. T., Chase-Topping M., Shaw D. J., Matthews L., Friar J. K., Wilesmith J., Woolhouse M. E. J. The construction and analysis of epidemic trees with reference to the 2001 UK foot-and-mouth outbreak. Proc Biol Sci. 2003 Jan 22;270(1511):121–127. doi: 10.1098/rspb.2002.2191. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Huerta Ramon, Tsimring Lev S. Contact tracing and epidemics control in social networks. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Nov 19;66(5 Pt 2):056115–056115. doi: 10.1103/PhysRevE.66.056115. [DOI] [PubMed] [Google Scholar]
- Hyman James M., Li Jia, Stanley E. Ann. Modeling the impact of random screening and contact tracing in reducing the spread of HIV. Math Biosci. 2003 Jan;181(1):17–54. doi: 10.1016/s0025-5564(02)00128-1. [DOI] [PubMed] [Google Scholar]
- Kault D. A. Modelling AIDS reduction strategies. Int J Epidemiol. 1995 Feb;24(1):188–197. doi: 10.1093/ije/24.1.188. [DOI] [PubMed] [Google Scholar]
- Keeling M. J., Rand D. A., Morris A. J. Correlation models for childhood epidemics. Proc Biol Sci. 1997 Aug 22;264(1385):1149–1156. doi: 10.1098/rspb.1997.0159. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Keeling M. J. The effects of local spatial structure on epidemiological invasions. Proc Biol Sci. 1999 Apr 22;266(1421):859–867. doi: 10.1098/rspb.1999.0716. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Keeling M. J., Woolhouse M. E., Shaw D. J., Matthews L., Chase-Topping M., Haydon D. T., Cornell S. J., Kappey J., Wilesmith J., Grenfell B. T. Dynamics of the 2001 UK foot and mouth epidemic: stochastic dispersal in a heterogeneous landscape. Science. 2001 Oct 3;294(5543):813–817. doi: 10.1126/science.1065973. [DOI] [PubMed] [Google Scholar]
- Macke B. A., Maher J. E. Partner notification in the United States: an evidence-based review. Am J Prev Med. 1999 Oct;17(3):230–242. doi: 10.1016/s0749-3797(99)00076-8. [DOI] [PubMed] [Google Scholar]
- McLean A. R., Anderson R. M. Measles in developing countries. Part II. The predicted impact of mass vaccination. Epidemiol Infect. 1988 Jun;100(3):419–442. doi: 10.1017/s0950268800067170. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Müller J., Kretzschmar M., Dietz K. Contact tracing in stochastic and deterministic epidemic models. Math Biosci. 2000 Mar;164(1):39–64. doi: 10.1016/s0025-5564(99)00061-9. [DOI] [PubMed] [Google Scholar]
- Müller J., Schönfisch B., Kirkilionis M. Ring vaccination. J Math Biol. 2000 Aug;41(2):143–171. doi: 10.1007/s002850070003. [DOI] [PubMed] [Google Scholar]
- Nokes D. J., Swinton J. Vaccination in pulses: a strategy for global eradication of measles and polio? Trends Microbiol. 1997 Jan;5(1):14–19. doi: 10.1016/S0966-842X(97)81769-6. [DOI] [PubMed] [Google Scholar]
- Read Jonathan M., Keeling Matt J. Disease evolution on networks: the role of contact structure. Proc Biol Sci. 2003 Apr 7;270(1516):699–708. doi: 10.1098/rspb.2002.2305. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sullivan D. J., Völkl W. Hyperparasitism: multitrophic ecology and behavior. Annu Rev Entomol. 1999;44:291–315. doi: 10.1146/annurev.ento.44.1.291. [DOI] [PubMed] [Google Scholar]
- Woolhouse M., Donaldson A. Managing foot-and-mouth. Nature. 2001 Mar 29;410(6828):515–516. doi: 10.1038/35069250. [DOI] [PubMed] [Google Scholar]
- van Baalen M, Rand DA. The Unit of Selection in Viscous Populations and the Evolution of Altruism. J Theor Biol. 1998 Aug 21;193(4):631–648. doi: 10.1006/jtbi.1998.0730. [DOI] [PubMed] [Google Scholar]
