Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

被引：9
|
作者：
Li, Chun-Hsien [1 ]
Tsai, Chiung-Chiou [2 ]
Yang, Suh-Yuh [1 ]
机构：
[1] Natl Cent Univ, Dept Math, Jhongli 32001, Taoyuan County, Taiwan
[2] Nanya Inst Technol, Dept Comp Sci & Informat Engn, Jhongli 32091, Taoyuan County, Taiwan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期
关键词：
SIR epidemic model; Time delay; Asymptotic stability; Permanence; GLOBAL STABILITY; ASYMPTOTIC PROPERTIES;
D O I：
10.1016/j.amc.2011.06.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the permanence of an SIR epidemic model with a density-dependent birth rate and a distributed time delay. We first consider the attractivity of the disease-free equilibrium and then show that for any time delay, the delayed SIR epidemic model is permanent if and only if an endemic equilibrium exists. Numerical examples are given to illustrate the theoretical analysis. The results obtained are also compared with those from the analog system with a discrete time delay. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1682 / 1693
页数：12
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