Qualitative study of a stochastic SIRS epidemic model with information intervention

被引：10
|
作者：
Jin, Xihua [1 ]
Jia, Jianwen [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 547卷
关键词：
SIRS model; Extinction; Persistence; Stationary distribution; Information intervention; MEDIA COVERAGE; STATIONARY DISTRIBUTION; INFECTIOUS-DISEASES; AWARENESS PROGRAMS; THRESHOLD; STABILITY; DYNAMICS; IMPACT; DELAY;
D O I：
10.1016/j.physa.2019.123866
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 information intervention. First of all, the existence and uniqueness of the global positive solution are obtained. Then, we derive sufficient conditions for the extinction and persistence of the disease. Moreover, by establishing appropriate Lyapunov function, the existence of a stationary distribution is discussed. Some numerical simulations are given to illustrate our analytical results. (C) 2019 Elsevier B.V. All rights reserved.
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页数：12
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