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.
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页数：10
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