Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain  

作　　者：Yusi Cao Jing Fu 

机构地区：[1]College of Mathematics,Changchun Normal University Changchun,P.R.China

出　　处：《International Journal of Biomathematics》2024年第7期25-52,共28页生物数学学报(英文版)

基　　金：supported by the Natural Science Foundation of Changchun Normal University(No.2021-005).

摘　　要：In this paper,a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated.By constructing several suitable Lyapunov functions,we obtain sufficient conditions for the existence of ergodic stationary distribution of the positive solution.Moreover,by solving the Fokker-Planck equation,we obtain the exact expression of probability density function around the quasi-equilibrium of the stochastic model.In addition,sufficient conditions for the extinction are established.Finally,the results of this paper are further verified by numerical simulation.

关 键 词：Stochastic SIQS model with Markov switching standard incidence rate stationary distribution density function EXTINCTION 

分 类 号：O17[理学—数学]