A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination:Stationary distribution and extinction

• 作者: Tao Feng Xin He Xin Zhao Zhipeng Qiu
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Stochastic SIRS epidemic model nonlinear incidence markov switch sta-tionary distribution EXTINCTION
• 年，卷（期）: 2020,（3）
• 页码范围: 137-164
• 页数: 28页
• 分类号: O17

摘要

In this paper,a stochastic epidemic system with both switching noise and white noise is proposed to research the dynamics of the diseases.Nonlinear incidence and vaccination strategies are also considered in the proposed model.By using the method of stochastic analysis,we point out the key parameters that determine the persistence and extinction of the diseases.Specifically,if R0^s is greater than 0,the stochastic system has a unique ergodic stationary distribution;while if R ^* is less than 0,the diseases will be extinct at an exponential rate.