DYNAMIC BEHAVIOR OF A STOCHASTIC SIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION

被引：0

作者：

Zhang, Xiao-Bing ^{[1
,2
]}

Chang, Su-Qin ^{[2
]}

Huo, Hai-Feng ^{[1
,2
]}

机构：

[1] Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年

关键词：

Stochastic SIR model; extinction; persistence; stationary distribution; PULSE VACCINATION STRATEGY; NONLINEAR INCIDENCE; GLOBAL STABILITY; INFECTIOUS FORCE; THRESHOLD; PERSISTENCE; EXTINCTION; HIV/AIDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the dynamic behavior of a stochastic SIR epidemic model with vertical transmission. We present sufficient conditions which can determine the extinction and persistence in mean of the epidemic. Also we discuss the asymptotic behavior of the stochastic model around the endemic equilibrium of the corresponding model. Moreover, sufficient conditions for the existence of stationary distribution are established. The results are illustrated by numerical simulations.

引用

页数：20

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