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The reinfection threshold

dc.contributor.authorGomes, M. G. M.en_US
dc.contributor.authorWhite, L. J.en_US
dc.contributor.authorMedley, G. F.en_US
dc.date.accessioned2009-10-08T14:48:32Z
dc.date.available2009-10-08T14:48:32Z
dc.date.created2005en_US
dc.date.issued2005-09en_US
dc.date.updated2009-10-08T14:48:33Z
dc.description.abstractThresholds in transmission are responsible for critical changes in infectious disease epidemiology. The epidemic threshold indicates whether infection invades a totally susceptible population. The reinfection threshold indicates whether self-sustained transmission occurs in a population that has developed a degree of partial immunity to the pathogen (by previous infection or vaccination). In models that combine susceptible and partially immune individuals, the reinfection threshold is technically not a bifurcation of equilibria as correctly pointed out by Breban and Blower. However, we show that a branch of equilibria to a reinfection submodel bifurcates from the disease-free equilibrium as transmission crosses this threshold. Consequently, the full model indicates that levels of infection increase by two orders of magnitude and the effect of mass vaccination becomes negligible as transmission increases across the reinfection threshold. (c) 2005 Elsevier Ltd. All rights reserved
dc.identifier.citationGomes, M.G., White, L.J., Medley, G.F.(2005)."The reinfection threshold". Journal of theoretical biology. 236(1):111-3
dc.identifier.issn0022-5193
dc.identifier.urihttp://hdl.handle.net/10400.7/52
dc.language.isoeng
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jtbi.2005.03.001
dc.subjectepidemiological model
dc.subjectpartial immunity
dc.titleThe reinfection thresholden_US
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccess
rcaap.typearticle

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