Stability of an Age-structured SEIR Epidemic Model with Infectivity in Latent Period

被引：0
|
作者：
Li, Xue-Zhi [1 ]
Fang, Bin [1 ]
机构：
[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2009年 / 4卷 / 01期
关键词：
Age-Structured; SEIR Epidemic Model; Latent Period; the Basic Reproductive Number; Endemic Equilibrium; Stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an age-structured SEIR epidemic model with infectivity in the latent period. By using the theory and methods of Differential and Integral Equations, the explicit expression for the basic reproductive number R-0 is first derived. It is shown that the disease-free equilibrium is locally and globally asymptotically stable if R-0 < 1. It is then proved that only one endemic equilibrium exists if R-0 > 1 and its stability conditions are also given.
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页码：218 / 236
页数：19
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