Qualitative study of a stochastic SIS epidemic model with vertical transmission

被引：26
|
作者：
Zhang, Xiao-Bing [1 ]
Chang, Suqin [1 ]
Shi, Qihong [1 ]
Huo, Hai-Feng [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 505卷
关键词：
Stochastic random; Epidemic model; Vertical transmission; Stationary distribution; Extinction; Persistence; PREDATOR-PREY SYSTEM; STATIONARY DISTRIBUTION; NONLINEAR INCIDENCE; THRESHOLD BEHAVIOR; STANDARD INCIDENCE; DYNAMICS ANALYSIS; STABILITY; VACCINATION; PERSISTENCE; EXTINCTION;
D O I：
10.1016/j.physa.2018.04.022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study a stochastic SIS epidemic model with vertical infection. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary probability measure of the model. In addition, we also establish sufficient conditions for extinction and persistence of the disease. (C) 2018 Published by Elsevier B.V.
引用
收藏
页码：805 / 817
页数：13
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