PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS

被引：24

作者：

Sekiguchi, Masaki ^{[1
]}

机构：

[1] Tokyo Univ Sci, Grad Sch Sci, Shinjuku Ku, Tokyo 1628601, Japan

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2009年 / 2卷 / 04期

关键词：

Discrete epidemic model; delay; permanence; stability of equilibrium; GLOBAL STABILITY; SIR; DISCRETIZATIONS; DYNAMICS;

D O I：

10.1142/S1793524509000807

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we discuss some discrete epidemic models, that is, discrete SIR epidemic model with no delay, discrete SIR epidemic model with one delay and discrete SEIRS epidemic model with two delays. By applying the method given in Wang, Appl. Math. Lett. 15(2002) 423-428, we prove the permanence of these discrete epidemic models. These sufficient conditions are similar to the continuous epidemic models, that is, the basic reproduction number of each model is larger than one.

引用

页码：443 / 461

页数：19

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