Dynamics and probability density function of a stochastic COVID-19 epidemic model with nonlinear incidence

被引：0

作者：

Zhang, Yihan ^{[1
]}

Chen, Qiaoling ^{[1
,2
]}

Teng, Zhidong ^{[3
]}

Cai, Yujie ^{[1
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China

[2] Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China

[3] Xinjiang Med Univ, Coll Med Engn & Technol, Urumqi 830017, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2024年 / 24卷 / 03期

基金：

中国国家自然科学基金;

关键词：

SEIQ model; stationary distribution; extinction; probability density; STATIONARY DISTRIBUTION;

D O I：

10.1142/S0219493724500187

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, a stochastic SEIQ model with nonlinear incidence rate is proposed. The existence and uniqueness of global positive solution of the stochastic model are proved. Then, by constructing some Lyapunov functions, we derive a sufficient condition for the ergodic stationary distribution when R0s is greater than one. By solving a four-dimensional Fokker-Planck equation, we get the exact expression of log-normal probability density function of stationary distribution for the stochastic model. Sufficient condition for the extinction of the exposed and infected population is also provided. Finally, numerical simulations are presented to verify the above theoretical results.

引用

页数：42

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