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J Math Biol. 2006 Aug;53(2):253-72. Epub 2006 Jun 7.

A susceptible-infected epidemic model with voluntary vaccinations.

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  • 1Department of Economics, Wake Forest University, Box 7505, Winston-Salem, NC 27109-7505, USA. chenfh@wfu.edu

Abstract

An susceptible-infected epidemic model with endogenous behavioral changes is presented to analyze the impact of a prophylactic vaccine on disease prevalence. It is shown that, with voluntary vaccination, whether an endemic equilibrium exists or not does not depend on vaccine efficacy or the distribution of agent-types. Although an endemic equilibrium is unique in the absence of a vaccine, the availability of a vaccine can lead to multiple endemic equilibria that differ in disease prevalence and vaccine coverage. Depending on the distribution of agent-types, the introduction of a vaccine or, if one is available, a subsidy for vaccination can increase disease prevalence by inducing more risky behavior.

PMID:
16758209
[PubMed - indexed for MEDLINE]
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