Dynamical behavior of a stochastic epidemic model for cholera

被引：34

作者：

Liu, Qun ^{[1
]}

Jiang, Daqing ^{[1
,2
,3
]}

Hayat, Tasawar ^{[2
,4
]}

Alsaedi, Ahmed ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China

[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

[3] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[4] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 13期

关键词：

STATIONARY DISTRIBUTION; INFECTIOUS-DISEASES; GLOBAL STABILITY; CLIMATE-CHANGE; HYPERINFECTIVITY; EXTINCTION;

D O I：

10.1016/j.jfranklin.2018.11.056

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a stochastic epidemic model for cholera is proposed and investigated. Firstly, we establish sufficient conditions for extinction of the disease. Then we establish sufficient criteria for the existence of a unique ergodic stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. The existence of an ergodic stationary distribution implies that all the individuals can be coexistent in the long run. Finally, some examples together with numerical simulations are introduced to illustrate our theoretical results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：7486 / 7514

页数：29

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