Qualitative study of a stochastic SIS epidemic model with vertical transmission

被引：29

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

页码：805 / 817

页数：13

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