期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 492, 期 -, 页码 1604-1624出版社
ELSEVIER
DOI: 10.1016/j.physa.2017.11.085
关键词
Stochastic SIQS epidemic model; Threshold value; Persistence in the mean; Extinction; Stationary distribution
资金
- Natural Science Foundation of Xinjiang [2016D03022]
In this paper, we investigate the dynamical behavior for a stochastic SIS epidemic model with isolation which is as an important strategy for the elimination of infectious diseases. It is assumed that the stochastic effects manifest themselves mainly as fluctuation in the transmission coefficient, the death rate and the proportional coefficient of the isolation of infective. It is shown that the extinction and persistence in the mean of the model are determined by a threshold value R-0(S). That is, if R-0(S) < 1, then disease dies out with probability one, and if R-0(S) > 1, then the disease is stochastic persistent in the means with probability one. Furthermore, the existence of a unique stationary distribution is discussed, and the sufficient conditions are established by using the Lyapunov function method. Finally, some numerical examples are carried out to confirm the analytical results. (C) 2017 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据