Global stability of an epidemic model with nonlinear incidence rate and differential infectivity

被引：17
|
作者：
Wang, LD [1 ]
Li, HQ
机构：
[1] Shanxi Univ Finance & Econ, Dept Appl Math, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
[3] AF Engn Univ, Telecommun Engn Inst, Xian 710077, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 03期
关键词：
epidemic model; basic reproduction number; disease-free equilibrium; endemic equilibrium; stability;
D O I：
10.1016/j.amc.2003.12.121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers an SI1I2R epidemic model that incorporates two classes of infectious individuals with differential infectivity, and the incidence rate is nonlinear. The basic reproduction number R-0 is found. If R-0 less than or equal to 1, the disease-free equilibrium is globally asymptotically stable and the disease always dies out eventually. If R-0 > 1, a unique endemic equilibrium is locally asymptotically stable for general assumption. For a special case the global stability of the endemic equilibrium is proved. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：769 / 778
页数：10
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