A stochastic SIRS epidemic model with a general awareness-induced incidence

被引：20
|
作者：
Berrhazi, Badreddine [1 ]
El Fatini, Mohamed [1 ]
Lahrouz, Aadil
Settati, Adel
Taki, Regragui [1 ]
机构：
[1] Ibn Tofail Univ, FS, Dept Math, BP 133, Kenitra, Morocco
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 512卷
关键词：
Epidemic model; Media coverage; Stochastic process; Stationary distribution; Ergodicity; INCORPORATING MEDIA COVERAGE; STATIONARY DISTRIBUTION;
D O I：
10.1016/j.physa.2018.08.150
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work we investigate the existence of a unique global positive solution for a stochastic SIRS epidemic model with a general awareness-induced incidence. We also study the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Numerical simulations are presented to confirm the theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：968 / 980
页数：13
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