Dynamic behavior of a stochastic SIR epidemic model with vertical transmission

Zhang, Xiao-BingChang, Su-QinHuo, Hai-Feng2021-12-062021-12-062019-11-25Zhang, 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. 1-120.1072-6691https://hdl.handle.net/10877/15019This 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.Text20 pages1 file (.pdf)enAttribution 4.0 InternationalStochastic SIR modelExtinctionPersistenceStationary distributionDynamic behavior of a stochastic SIR epidemic model with vertical transmissionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.