A non-standard finite difference scheme for an epidemic model with vaccination

被引：31
作者：
Ding, Deqiong [1 ]
Ma, Qiang [1 ]
Ding, Xiaohua [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Shangdong, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2013年 / 19卷 / 02期
基金：
中国国家自然科学基金;
关键词：
non-standard difference; numerical discretized model; stability; Lyapunov function; MATHEMATICAL-MODEL; NUMERICAL-METHODS; DISCRETIZATION; STABILITY;
D O I：
10.1080/10236198.2011.614606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to construct a non-standard finite difference (NSFD) scheme that can be used to calculate numerical solutions for an epidemic model with vaccination. Here, the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that when h < h(0), the discretized model preserves positivity and global dynamics of the continuous model. Numerical simulation illustrates the effectiveness of our results.
引用
收藏
页码：179 / 190
页数：12
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