Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

被引：52

作者：

Liu, Qun ^{[1
,2
]}

Jiang, Daqing ^{[1
,3
,4
]}

Shi, Ningzhong ^{[1
]}

Hayat, Tasawar ^{[3
,5
]}

Alsaedi, Ahmed ^{[3
]}

机构：

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

[2] Yulin Normal Univ, Sch Math & Informat Sci, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Guangxi, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah 121589, Saudi Arabia

[4] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[5] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 469卷

关键词：

Stochastic SIRS epidemic model; Stationary distribution; Extinction; Nonlinear incidence; NONLINEAR INCIDENCE; SATURATED INCIDENCE; DYNAMICS; SYSTEM; PERTURBATIONS; BEHAVIOR;

D O I：

10.1016/j.physa.2016.11.077

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：510 / 517

页数：8

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