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
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
收藏
页码:8 / 15
页数:8
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