Vaccination policies and nonlinear force of infection: Generalization of an observation by Alexander and Moghadas (2004)

Alberto D'Onofrio

Research output: Contribution to journalArticle

Abstract

It has been recently showed in [M.E. Alexander, S.M. Moghadas, Periodicity in an epidemic model with a generalized non-linear incidence, Math. Biosci. 189 (2004) 75-96] that one of the possible causes of unexpected failures of some vaccination campaigns may be the nonlinearity of the force of infection. The aim of this paper is to give a simple and biologically meaningful sufficient condition for the globally stable eradication of diseases whose spreading is described via a generic class of SIR and SEIR epidemic models ruled by nonlinear force of infection. We consider a scenario in which there are both traditional and pulse vaccination strategies.

Original languageEnglish
Pages (from-to)613-622
Number of pages10
JournalApplied Mathematics and Computation
Volume168
Issue number1
DOIs
Publication statusPublished - Sep 1 2005

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Keywords

  • Cooperation
  • Epidemic models
  • Impulsive differential equations
  • Nonlinear incidence
  • Vaccinations

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

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