The persistence and extinction of a stochastic SIS epidemic model with Logistic growth

被引：6

作者：

Liu, Jiamin ^{[1
]}

Chen, Lijuan ^{[1
]}

Wei, Fengying ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Extinction; Persistence; Stochastic SIS model; Logistic growth; VARYING SIZE; POPULATION; THRESHOLD; DYNAMICS; DELAY;

D O I：

10.1186/s13662-018-1528-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical properties of a stochastic susceptible-infected epidemic model with Logistic growth are investigated in this paper. We show that the stochastic model admits a nonnegative solution by using the Lyapunov function method. We then obtain that the infected individuals are persistent under some simple conditions. As a consequence, a simple sufficient condition that guarantees the extinction of the infected individuals is presented with a couple of illustrative examples.

引用

页数：10

共 13 条

[11] Media alert in an SIS epidemic model with logistic growth
Wang, Lianwen
Zhou, Da
Liu, Zhijun
Xu, Dashun
Zhang, Xinan
[J]. JOURNAL OF BIOLOGICAL DYNAMICS, 2017, 11 (01) : 120 - 137
[12] Study on the threshold of a stochastic SIR epidemic model and its extensions
Zhao, Dianli
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 38 : 172 - 177
[13] THE THRESHOLD OF A STOCHASTIC SIRS EPIDEMIC MODEL IN A POPULATION WITH VARYING SIZE
Zhao, Yanan
Jiang, Daqing
Mao, Xuerong
Gray, Alison
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (04): : 1277 - 1295

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