The threshold of a stochastic SIS epidemic model with vaccination

被引：273
|
作者：
Zhao, Yanan [1 ,2 ,3 ]
Jiang, Daqing [1 ,3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Changchun Univ, Sch Sci, Changchun 130021, Peoples R China
[3] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷
关键词：
SIS-VS epidemic model; Extinction; Persistence; Threshold; GLOBAL STABILITY; EXTINCTION; PERSISTENCE;
D O I：
10.1016/j.amc.2014.05.124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the long time behavior of a stochastic SIS epidemic model with vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We find a threshold of the stochastic model which determines the outcome of the disease in case the white noises are small. At last, some numerical simulations are carried out to support our results. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：718 / 727
页数：10
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