Dynamic behavior of a stochastic SIR epidemic model with vertical transmission
Date
2019-11-25
Authors
Zhang, Xiao-Bing
Chang, Su-Qin
Huo, Hai-Feng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Stochastic SIR model, Extinction, Persistence, Stationary distribution
Citation
Zhang, X. B., Chang, S. Q., & Huo, H. F. (2019). Dynamic behavior of a stochastic SIR epidemic model with vertical transmission. <i>Electronic Journal of Differential Equations, 2019</i>(125), pp. 1-120.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.