A SIMPLE DISCRETE-TIME ANALOGUE PRESERVING THE GLOBAL STABILITY OF A CONTINUOUS SIRS EPIDEMIC MODEL  

作　　者：YOICHI ENATSU YOSHIAKI MUROYA 

机构地区：[1]Graduate School of Fundamental Science and Engineering Waseda University, 3-~10hkubo, Shinjuku-ku Tokyo 169-8555, Japan [2]Department of Mathematics, Waseda University3-4-10hkubo, Shinjuku-ku, Tokyo 169-8555, Japan

出　　处：《International Journal of Biomathematics》2013年第2期1-17,共17页生物数学学报（英文版）

摘　　要：In this paper, we consider the backward Euler discretization derived from a continuous SIRS epidemic model, which contains a remaining problem that our discrete model has two solutions for infected population; one is positive and the other is negative. Under an additional positiveness condition on infected population, we show that the backward Euler discretization is one of simple discrete-time analogue which preserves the global asymptotic stability of equilibria of the corresponding continuous model.

关 键 词：SIRS epidemic model backward Euler method global asymptotic stability. 

分 类 号：Q141[生物学—生态学] TP273.2[生物学—普通生物学]