Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation

被引：84

作者：

Liu, Qun ^{[1
,2
]}

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

机构：

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

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

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

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

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 73卷

关键词：

Stochastic SIR model; Stationary distribution; Ergodicity; Extinction; Nonlinear perturbation; EPIDEMIC MODEL; PERSISTENCE; ERGODICITY;

D O I：

10.1016/j.aml.2017.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze a stochastic SIR model with nonlinear perturbation. By the Lyapunov function method, we establish sufficient conditions for the existence of a unique ergodic stationary distribution of the model. Moreover, sufficient conditions for extinction of the disease are also obtained. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：8 / 15

页数：8

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