Permanence and extinction for a nonautonomous SIRS epidemic model with time delay

被引：51

作者：

Zhang, Tailei ^{[1
]}

Teng, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 02期

关键词：

Time delay; Permanence; Extinction; Global attractivity; SYSTEMS;

D O I：

10.1016/j.apm.2007.12.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a nonautonomous SIRS epidemic model with time delay is studied. We introduce some new threshold values R(*) and R* and further obtain the disease will be permanent when R(*) > 1 and the disease extinct when R(*) < 1. Using the method of Liapunov functional, some sufficient conditions are derived for the global attractivity of the system. The known results are extended. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1058 / 1071

页数：14

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