Journal of Mathematical Biology

, Volume 53, Issue 2, pp 253–272 | Cite as

A Susceptible-infected Epidemic Model with Voluntary Vaccinations

Article

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.

Keywords or Phrases

Endemic equilibrium Reproductive number Dynamic programming STD Voluntary vaccination Mass vaccination 

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of EconomicsWake Forest UniversityWinston-SalemUSA

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