STATIONARY DISTRIBUTION OF STOCHASTIC SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE

被引：6

作者：

Zhao, Yanan ^{[1
,2
]}

Lin, Yuguo ^{[3
]}

Jiang, Daqing ^{[4
,5
]}

Mao, Xuerong ^{[6
]}

Li, Yong ^{[1
,7
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Jilin, Peoples R China

[2] Jilin Univ, Coll Sci, Changchun 130022, Jilin, Peoples R China

[3] Beihua Univ, Coll Math, Jilin 132013, Jilin, Peoples R China

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

[5] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[6] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

[7] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 07期

关键词：

Stationary distribution; diffusion process; Markov semigroups; asymptotic stability; LONG-TIME BEHAVIOR; PERTURBED SIR; POPULATION; EXTINCTION; DYNAMICS; THRESHOLD;

D O I：

10.3934/dcdsb.2016051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study stochastic versions of a deterministic SIRS(Susceptible, Infective, Recovered, Susceptible) epidemic model with standard incidence. We study the existence of a stationary distribution of stochastic system by the theory of integral Markov semigroup. We prove the distribution densities of the solutions can converge to an invariant density in L-1. This shows the system is ergodic. The presented results are demonstrated by numerical simulations.

引用

页码：2363 / 2378

页数：16

共 30 条

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[3]

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