Stability of stochastic SIRS epidemic models with saturated incidence rates and delay

被引：17
|
作者：
Zhong, Xiaoyun [1 ,2 ]
Guo, Shangjiang [1 ]
Peng, Minfang [2 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Hunan Univ, Coll Elect & Informat Engn, Changsha, Hunan, Peoples R China
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2017年 / 35卷 / 01期
基金：
国家教育部博士点专项基金资助;
关键词：
Stochastic SIRS model; delay; Ito's formula; stability in probability; Euler-Maruyama method; TEMPORARY IMMUNITY; GLOBAL STABILITY; DIFFERENTIAL-EQUATIONS; NONLINEAR INCIDENCE; TIME DELAYS; PERTURBATIONS; EXTINCTION; DYNAMICS; SYSTEM;
D O I：
10.1080/07362994.2016.1244644
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider stochastic susceptible-infected-removed-susceptible (SIRS) epidemic models with saturated incidence rates and delay. We investigate the stochastic stability in probability of the disease-free and endemic equilibria for the stochastic dynamic model with variability in the natural death rate, and the stochastic stability in probability of the endemic equilibrium for the dynamic model when the variability in the environment is proportional to a deviation between the state of the system and the endemic equilibrium. The numerical experiments are provided to support our theoretical results.
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页码：1 / 26
页数：26
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