PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS

被引：0
|
作者：
Rui Xue [1 ]
Fengying Wei [1 ]
机构：
[1] College of Math.and Computer Science, Fuzhou University
来源：
Annals of Applied Mathematics | 2017年 / 33卷 / 01期
基金：
中国国家自然科学基金;
关键词：
double epidemic hypothesis; Brownian motion; extinction; persistence;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article.
引用
收藏
页码：77 / 89
页数：13
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