Vaccination policies and nonlinear force of infection: generalization of an observation by Alexander and Moghadas (2004). (English) Zbl 1073.92050
Summary: It has been recently showed by M. E. Alexander and S. M. Moghadas [Math. Biosci. 189, 75–96 (2004; Zbl 1073.92040)] 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.
Keywords:
Epidemic models; Nonlinear incidence; Vaccinations; Impulsive differential equations; CooperationCitations:
Zbl 1073.92040References:
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