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

页码：111 / 117

页数：7

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