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
相关论文
共 50 条
  • [1] Dynamics of COVID-19 mathematical model with stochastic perturbation
    Zizhen Zhang
    Anwar Zeb
    Sultan Hussain
    Ebraheem Alzahrani
    Advances in Difference Equations, 2020
  • [2] A Novel Mathematical Model of the Dynamics of COVID-19
    Demirci, Elif
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2023, 36 (03): : 1302 - 1309
  • [3] A mathematical model for transmission dynamics of COVID-19 infection
    Arti Awasthi
    The European Physical Journal Plus, 138
  • [4] Crowding effects on the dynamics of COVID-19 mathematical model
    Zhang, Zizhen
    Zeb, Anwar
    Alzahrani, Ebraheem
    Iqbal, Sohail
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [5] A mathematical model for transmission dynamics of COVID-19 infection
    Awasthi, Arti
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (03):
  • [6] Crowding effects on the dynamics of COVID-19 mathematical model
    Zizhen Zhang
    Anwar Zeb
    Ebraheem Alzahrani
    Sohail Iqbal
    Advances in Difference Equations, 2020
  • [7] Stochastic model of the transmission dynamics of COVID-19 pandemic
    Tesfaye, Aychew Wondyfraw
    Satana, Tesfaye Sama
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [8] Stochastic model of the transmission dynamics of COVID-19 pandemic
    Aychew Wondyfraw Tesfaye
    Tesfaye Sama Satana
    Advances in Difference Equations, 2021
  • [9] Mathematical model and COVID-19
    Grillo Ardila, Elvia Karina
    Santaella-Tenorio, Julian
    Guerrero, Rodrigo
    Eduardo Bravo, Luis
    COLOMBIA MEDICA, 2020, 51 (02):
  • [10] Dynamics of a fractional order mathematical model for COVID-19 epidemic
    Zhang, Zizhen
    Zeb, Anwar
    Egbelowo, Oluwaseun Francis
    Erturk, Vedat Suat
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)