Xiao-Bing Zhang, Su-Qin Chang, Hai-Feng Huo
Abstract:
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.
Submitted July 21, 2018. Published November 25, 2019.
Math Subject Classifications: 34A37, 34D05, 92D30.
Key Words: Stochastic SIR model; extinction; persistence; stationary distribution.
Show me the PDF file (624 KB), TEX file for this article.
 |
Xiao-Bing Zhang College of Electrical and Information Engineering Lanzhou University of Technology Lanzhou, Gansu 730050, China email: 1037823915@qq.com |
|---|---|
 |
Su-Qin Chang Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, China email: 11234678911@qq.com |
 |
Hai-Feng Huo College of Electrical and Information Engineering Lanzhou University of Technology Lanzhou, Gansu 730050, China email: hfhuo@lut.cn |
Return to the EJDE web page