Threshold conditions for a discrete nonautonomous SIRS model

被引：4
|
作者：
Zhang, Tailei [1 ]
Liu, Junli [2 ]
Teng, Zhidong [3 ]
机构：
[1] Changan Univ, Sch Sci, Xian 710064, Peoples R China
[2] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China
[3] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 09期
关键词：
discrete SIRS model; nonautonomous epidemic model; permanence; extinction; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; EPIDEMIC MODELS; DIFFERENTIAL-EQUATIONS; INFECTIOUS-DISEASES; SARS TRANSMISSION; POPULATION; TIME; PERSISTENCE; DYNAMICS;
D O I：
10.1002/mma.3186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete nonautonomous SIRS epidemic model is studied. The model is constructed by applying a nonstandard finite difference scheme. Under weaker assumptions, the sufficient and necessary conditions on the permanence and strong persistence of the disease and the sufficient condition on the extinction of the disease are established. In order to illustrate our theoretical analysis, some numerical simulations are included in the end. Copyright (c) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码：1781 / 1794
页数：14
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