Global stability in some SEIR epidemic models

被引：0
|
作者：
Li, MY [1 ]
Wang, LC [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, METHODS, AND THEORY | 2002年 / 126卷
关键词：
epidemic models; endemic equilibrium; latent period; global stability; compound matrices;
D O I：
暂无
中图分类号：
R51 [传染病];
学科分类号：
100401 ;
摘要：
The dynamics of many epidemic models for infectious diseases that spread in a single host population demonstrate a threshold phenomenon. If the basic reproduction number R-0 is below unity, the disease-free equilibrium P-0 is globally stable in the feasible region and the disease always dies out. If R-0 > 1, a unique endemic equilibrium P* is globally asymptotically stable in the interior of the feasible region and the disease will persist at the endemic equilibrium if it is initially present. In this paper, this threshold phenomenon is established for two epidemic models of SEIR type using two recent approaches to the global-stability problem.
引用
收藏
页码：295 / 311
页数：17
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