Permanence and extinction for a nonautonomous SEIRS epidemic model

被引：29

作者：

Kuniya, Toshikazu ^{[1
]}

Nakata, Yukihiko ^{[2
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

[2] Basque Ctr Appl Math, E-48009 Bilbao, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期

基金：

日本学术振兴会;

关键词：

SEIRS epidemic model; Nonautonomous system; Permanence; Extinction; Basic reproduction number; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; THRESHOLD CONDITIONS; GLOBAL STABILITY; PERSISTENCE; DYNAMICS;

D O I：

10.1016/j.amc.2012.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the long-time behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By numerical examples we show that there are cases such that our results improve the previous results obtained in [T. Zhang, Z. Teng, On a nonautonomous SEIRS model in epidemiology, Bull. Math. Bio. 69 (2007) 2537-2559]. We discuss a relation between our results and open questions proposed in the paper. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：9321 / 9331

页数：11

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