An NSFD scheme for a class of SIR epidemic models with vaccination and treatment

被引：20

作者：

Cui, Qianqian ^{[1
]}

Yang, Xia ^{[1
]}

Zhang, Qiang ^{[1
]}

机构：

[1] Shihezi Univ, Coll Sci, Shihezi 832000, Xinjiang, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2014年 / 20卷 / 03期

关键词：

dynamically consistent; SIR epidemic model; asymptotically stable; NSFD scheme; discrete-time model; FINITE-DIFFERENCE SCHEMES; TRANSMISSION; EQUATIONS; DYNAMICS;

D O I：

10.1080/10236198.2013.844802

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An non-standard finite difference scheme is employed to discuss a class of SIR epidemic model with vaccination and treatment. The dynamical properties of the discretized model are then analysed. The results demonstrate that the discretized epidemic model is dynamically consistent with the continuous model since it maintains essential properties of the corresponding continuous model, such as positivity property and boundness of solutions, equilibrium points and their local stability properties.

引用

页码：416 / 422

页数：7

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