Global attractivity of a discrete SIRS epidemic model with standard incidence rate

被引：10
|
作者：
Wang, Lei [1 ]
Teng, Zhidong [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 05期
基金：
中国国家自然科学基金;
关键词：
discrete SIRS epidemic model; basic reproduction number; global attractivity; iteration technique; endemic equilibrium; TIME SI; TRANSMISSION; PERMANENCE; DYNAMICS;
D O I：
10.1002/mma.2734
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model with standard incidence rate is studied. By means of the iteration technique and the comparison principle of difference equations, the sufficient conditions are obtained for the global attractivity of the endemic equilibrium when the basic reproduction number R0 is greater than unity. Two examples are given to illustrate the main theoretical results. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：601 / 619
页数：19
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