Dynamics of COVID-19 mathematical model with stochastic perturbation

Advances in Difference Equations

article

Zhang, Zizhen¹  Zeb, Anwar²  Hussain, Sultan²  Alzahrani, Ebraheem³ 

[1] School of Management Science and Engineering, Anhui University of Finance and Economics;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Faculty of Science, King Abdulaziz University

关键词: Stochastic COVID-19 model;    Itô’s formula;    Extinction;    Persistence;    Numerical analysis;   

DOI  :  10.1186/s13662-020-02909-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Acknowledging many effects on humans, which are ignored in deterministic models for COVID-19, in this paper, we consider stochastic mathematical model for COVID-19. Firstly, the formulation of a stochastic susceptible–infected–recovered model is presented. Secondly, we devote with full strength our concentrated attention to sufficient conditions for extinction and persistence. Thirdly, we examine the threshold of the proposed stochastic COVID-19 model, when noise is small or large. Finally, we show the numerical simulations graphically using MATLAB.

【 授权许可】

CC BY