A regime-switching stochastic SIR epidemic model with a saturated incidence and limited medical resources

作     者：Wei Wei Wei Xu Jiankang Liu 

作者机构：Department of Applied Mathematics Northwestern Polytechnical University Xi'an 710072ShaanciP.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2023年第16卷第7期

页      面：91-110页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work is supported by the National Natural Science Foundation of China(Grant Nos.12072261 and 11872305) 

主　　题：Epidemic model extinction persistence Markov switching saturated incidence 

摘      要：The stochastic switching SIR epidemic model with saturated incidence and limited medical treatment is investigated in this *** using Lyapunov methods and Ito formula,we first prove that the system has a unique global positive solution with any positive initial *** combining inequality technique and the ergodic property of Markov switching,the suficient conditions for extinction and persistence in the mean of the disease are *** results demonstrate that increasing medical resources and improving supply efficiency can accelerate the transition from the persistent state to the extinct ***,the high incidence rate will slow down the extinction of the ***,the switching noise can induce the system to toggle between the extinct and persistent ***,some numerical simulations are carried out to confirm the analytical results.