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

作　　者：Wei Wei Wei Xu Jiankang Liu 

机构地区：[1]Department of Applied Mathematics Northwestern Polytechnical University Xi'an 710072,Shaanci,P.R.China

出　　处：《International Journal of Biomathematics》2023年第7期91-110,共20页生物数学学报（英文版）

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

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

关 键 词：Epidemic model EXTINCTION PERSISTENCE Markov switching saturated incidence 

分 类 号：O175[理学—数学]