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

被引:30
作者
d'Onofrio, A [1 ]
机构
[1] European Inst Oncol, Dept Epidemiol & Biostat, I-20124 Brescia, Italy
关键词
epidemic models; nonlinear incidence; vaccinations; impulsive differential equations; cooperation;
D O I
10.1016/j.amc.2004.09.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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) 7596] 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. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:613 / 622
页数:10
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