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

被引：0

作者：

Cao, Yusi ^{[1
]}

Fu, Jing ^{[1
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2024年 / 17卷 / 07期

关键词：

Stochastic SIQS model with Markov switching; standard incidence rate; stationary distribution; density function; extinction;

D O I：

10.1142/S1793524523500626

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页数：28

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