QUALITATIVE ANALYSIS OF AN SEIS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

被引：0
|
作者：
王拉娣 [1 ,2 ]
李建全 [3 ]
机构：
[1] Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,P. R. China
[2] Department of Mathematics,Shanghai University,Shanghai 200444,P. R. China
[3] Department of Applied Mathematics and Physics,Air Force Engineering University,Xi'an 710051,P. R. China
来源：
Applied Mathematics and Mechanics(English Edition) | 2006年 / 05期
基金：
国家科技攻关计划;
关键词：
epidemic model; equilibrium; stability; persistence;
D O I：
暂无
中图分类号：
O175.12 [定性理论];
学科分类号：
070104 ;
摘要：
By means of limit theory and Fonda’s theorem, an SEIS epidemic model with constant recruitment and the disease-related rate is considered. The incidence term is of the nonlinear form, and the basic reproduction number is found. If the basic reproduction number is less than one, there exists only the disease-free equilibrium, which is globally asymptotically stable, and the disease dies out eventually. If the basic reproduction number is greater than one, besides the unstable disease-free equilibrium, there exists also a unique endemic equilibrium, which is locally asymptotically stable, and the disease is uniformly persistent.
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页码：667 / 672
页数：6
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