Dynamical behavior of a stochastic multigroup SIR epidemic model

被引：11

作者：

Liu, Qun ^{[1
]}

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

机构：

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

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

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

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 526卷

关键词：

Multigroup SIR epidemic model; Stationary distribution; Extinction; Stochastic perturbation; ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; CHEMOSTAT MODEL; PERSISTENCE; EXTINCTION; AIDS;

D O I：

10.1016/j.physa.2019.04.211

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study a multigroup SIR epidemic model in a stochastic environment. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. The results reveal that the smaller white noise can ensure the persistence of the diseases while the larger white noise can lead to the extinction of the diseases. Finally, some examples and numerical simulations are provided to illustrate the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：19

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