Global dynamics of a discretized SIRS epidemic model with time delay

被引：65
|
作者：
Sekiguchi, Masaki [1 ]
Ishiwata, Emiko [2 ]
机构：
[1] Tokyo Metropolitan Arakawa Business High Sch, Adachi Ku, Tokyo 1208528, Japan
[2] Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, Tokyo 1628601, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 371卷 / 01期
关键词：
Epidemic model; Nonstandard finite difference scheme; Global dynamics; Permanence; Time delay; NUMERICAL-METHODS; NONSTANDARD; PERMANENCE; BEHAVIOR;
D O I：
10.1016/j.jmaa.2010.05.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a discretized SIRS epidemic model with time delay by applying a nonstandard finite difference scheme. Sufficient conditions for the global dynamics of the solution are obtained by improvements in discretization and applying proofs for continuous epidemic models. These conditions for our discretized model are the same as for the original continuous model. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：195 / 202
页数：8
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