Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures

A. D'Onofrio

Research output: Contribution to journalArticle

Abstract

In this paper, we study the use of a pulse vaccination strategy to eradicate infectious diseases modelizable by SIR epidemic model. We demonstrate the global asymptotic stability of the eradication solution (which was conjectured by Agur and coworkers in [1] for pulse vaccination in the classical SIR model) for a general model in which nonpermanent immunization, variations of the total population size, and the emerging problem of the vaccine failures are considered. As a strategy using a second inoculation is a standard practice, we propose a model to describe a modification of this strategy including the second inoculation and we study its local asymptotic stability.

Original languageEnglish
Pages (from-to)473-489
Number of pages17
JournalMathematical and Computer Modelling
Volume36
Issue number4-5
DOIs
Publication statusPublished - Aug 30 2002

Keywords

  • Deterministic epidemic models
  • Impulsive differential equations
  • Stability theory
  • Vaccinations

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

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