Global stability of a multi-group SVIR epidemic model
Global stability of a multi-group SVIR epidemic model
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DOI：
10.1016/j.nonrwa.2012.09.004
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发表时间：
2013-04-01
影响因子：
2
通讯作者：
Kuniya, Toshikazu
中科院分区：
文献类型：
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作者：
Kuniya, Toshikazu
本文研究了一类多群体SVIR流行病模型的全局稳定性，该模型考虑了种群的异质性和疫苗接种的免疫效应。我们证明了基本再生数R-0对模型的长时间行为起着阈值的作用，即当R-0 1时，模型的无病平衡点E-0是全局渐近稳定的.对于证明，我们使用的经典方法的李雅普诺夫，最近开发的图论方法和极大函数的方法。(C)2012爱思唯尔有限公司保留所有权利。
In this paper, we investigate the global stability of a multi-group SVIR epidemic model, with which we can consider the heterogeneity of population and the effect of immunity induced by vaccination. We prove that the basic reproduction number R-0 plays the role of a threshold for the long-time behavior of the model, that is, the disease-free equilibrium E-0 of the model is globally asymptotically stable if R-0 1. For the proofs we use the classical method of Lyapunov, a recently developed graph-theoretic approach and an approach of max functions. (C) 2012 Elsevier Ltd. All rights reserved.