Global stability of an SEIR epidemic model with constant immigration

被引：52
|
作者：
Li, Guihua [1 ]
Wang, Wendi
Jin, Zhen
机构：
[1] SW China Normal Univ, Fac Life Sci, Key Lab Ecoenvironm, Minist Educ, Chongqing 400715, Peoples R China
[2] SW China Normal Univ, Dept Math, Chongqing 400715, Peoples R China
[3] N Univ China, Dept Math, Shanxi 030051, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 30卷 / 04期
基金：
中国国家自然科学基金; 山西省青年科学基金;
关键词：
D O I：
10.1016/j.chaos.2005.09.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An SEIR epidemic model with the infectious force in the latent (exposed), infected and recovered period is studied. It is assumed that susceptible and exposed individuals have constant immigration rates. The model exhibits a unique endemic state if the fraction p of infectious immigrants is positive. If the basic reproduction number R-0 is greater than 1, sufficient conditions for the global stability of the endemic equilibrium are obtained by the compound matrix theory. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1012 / 1019
页数：8
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