Dynamics of COVID-19 mathematical model with stochastic perturbation

被引:75
|
作者
Zhang, Zizhen [1 ]
Zeb, Anwar [2 ]
Hussain, Sultan [2 ]
Alzahrani, Ebraheem [3 ]
机构
[1] Anhui Univ Finance & Econ, Sch Management Sci & Engn, Bengbu 233030, Peoples R China
[2] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunk, Pakistan
[3] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
关键词
Stochastic COVID-19 model; Ito's formula; Extinction; Persistence; Numerical analysis; SIRS EPIDEMIC MODEL; EXTINCTION; STABILITY; THRESHOLD;
D O I
10.1186/s13662-020-02909-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
引用
收藏
页数:12
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