Global stability of a discrete SIR epidemic model with vaccination and treatment

被引：20
|
作者：
Cui, Qianqian [1 ]
Zhang, Qiang [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China
[2] Shihezi Univ, Coll Sci, Shihezi 832000, Xinjiang, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2015年 / 21卷 / 02期
关键词：
dynamically consistent; SIR epidemic model; globally asymptotically stable; NSFD scheme; discrete-time model; FINITE-DIFFERENCE SCHEMES; NSFD SCHEME; EQUATIONS;
D O I：
10.1080/10236198.2014.990450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a discrete susceptible-infected-removed epidemic model with vaccination and treatment and it is shown that the global dynamics is determined by the basic reproduction number R-0. If R-0 < 1, then the disease-free equilibrium is globally asymptotically stable and if R-0 > 1, then the endemic equilibrium is globally asymptotically stable.
引用
收藏
页码：111 / 117
页数：7
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