DYNAMICS OF AN ULTRA-DISCRETE SIR EPIDEMIC MODEL WITH TIME DELAY

被引：5
|
作者：
Sekiguchi, Masaki [1 ]
Ishiwata, Emiko [2 ]
Nakata, Yukihiko [3 ]
机构：
[1] Tokyo Metropolitan Ogikubo High Sch, Suginami Ku, 5-7-20 Ogikubo, Tokyo 1670051, Japan
[2] Tokyo Univ Sci, Dept Appl Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan
[3] Shimane Univ, Dept Math, 1600 Nishikawatsu Cho, Matsue, Shimane 6908504, Japan
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2018年 / 15卷 / 03期
关键词：
Epidemic model; ultra-discretization; time delay; dynamics; NUMERICAL-METHODS; GLOBAL STABILITY; EQUATIONS; PERMANENCE;
D O I：
10.3934/mbe.2018029
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We propose an ultra-discretization for an SIR epidemic model with time delay. It is proven that the ultra-discrete model has a threshold property concerning global attractivity of equilibria as shown in differential and difference equation models. We also study an interesting convergence pattern of the solution, which is illustrated in a two-dimensional lattice.
引用
收藏
页码：653 / 666
页数：14
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