Global behavior of an SEIRS epidemic model with time delays

被引：185

作者：

Wang, WD ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

[2] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 04期

关键词：

epidemic; global stability; persistence; delay;

D O I：

10.1016/S0893-9659(01)00153-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a study of dynamic behavior of an SEIRS epidemic model with time delays. It is shown that disease-free equilibrium is globally stable if the reproduction number is not greater than one. When the reproduction number is greater than 1, it is proved that the disease is uniformly persistent in the population, and explicit formulae are obtained by which the eventual lower bound of the fraction of infectious individuals can be computed. Local stability of endemic equilibrium is also discussed. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：423 / 428

页数：6

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