Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage

被引：71
|
作者：
Guo, Wenjuan [1 ,2 ]
Cai, Yongli [1 ]
Zhang, Qimin [2 ,3 ]
Wang, Weiming [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
[2] North Minzu Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China
[3] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 492卷
关键词：
Epidemic model; Media coverage; Reproduction number; Extinction; Persistence; MARKOV SEMIGROUPS; SARS OUTBREAK; ENVIRONMENT; STABILITY; DYNAMICS; EQUATIONS;
D O I：
10.1016/j.physa.2017.11.137
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper aims to study an SIS epidemic model with media coverage from a general deterministic model to a stochastic differential equation with environment fluctuation. Mathematically, we use the Markov semigroup theory to prove that the basic reproduction number R-0(s) can be used to control the dynamics of stochastic system. Epidemiologically, we show that environment fluctuation can inhibit the occurrence of the disease, namely, in the case of disease persistence for the deterministic model, the disease still dies out with probability one for the stochastic model. So to a great extent the stochastic perturbation under media coverage affects the outbreak of the disease. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：2220 / 2236
页数：17
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