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
  • [21] Study of transmission dynamics of novel COVID-19 by using mathematical model
    Rahim Ud Din
    Kamal Shah
    Imtiaz Ahmad
    Thabet Abdeljawad
    Advances in Difference Equations, 2020
  • [22] Mathematical model to investigate transmission dynamics of COVID-19 with vaccinated class
    Jeelani, Mdi Begum
    Alnahdi, Abeer S.
    Din, Rahim Ud
    Alrabaiah, Hussam
    Sultana, Azeem
    AIMS MATHEMATICS, 2023, 8 (12): : 29932 - 29955
  • [23] Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria
    Okuonghae, D.
    Omame, A.
    CHAOS SOLITONS & FRACTALS, 2020, 139
  • [24] A mathematical model for COVID-19 transmission dynamics with a case study of India
    Samui, Piu
    Mondal, Jayanta
    Khajanchi, Subhas
    CHAOS SOLITONS & FRACTALS, 2020, 140
  • [25] A mathematical model of COVID-19 transmission
    Jayatilaka, R.
    Patel, R.
    Brar, M.
    Tang, Y.
    Jisrawi, N. M.
    Chishtie, F.
    Drozd, J.
    Valluri, S. R.
    INTERNATIONAL CONFERENCES & EXHIBITION ON NANOTECHNOLOGIES, ORGANIC ELECTRONICS & NANOMEDICINE, NANOTEXNOLOGY 2020, PT 1, 2021, 54 : 101 - 112
  • [26] MATHEMATICAL MODEL OF AGING IN COVID-19
    Jovanikic, Olivera
    Stevanovic, G.
    Djordjevic, Boban
    Jovanovic, Milan
    Lepic, Milan
    JOURNAL OF MEDICAL BIOCHEMISTRY, 2023, 42 (03) : 383 - 391
  • [27] COVID-19 immunotherapy: a mathematical model
    Tavares, J. N.
    Gomes, Emilie
    MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2023, 40 (02): : 199 - 221
  • [28] Mathematical model to COVID-19 rate
    Yajada, Melika
    Moridani, Mohammad Karimi
    Rasouli, Saba
    INFECTIOUS DISEASE MODELLING, 2022, 7 (04) : 761 - 776
  • [29] A mathematical model of COVID-19 transmission
    Jayatilaka, R.
    Patel, R.
    Brar, M.
    Tang, Y.
    Jisrawi, N. M.
    Chishtie, F.
    Drozd, J.
    Valluri, S. R.
    MATERIALS TODAY-PROCEEDINGS, 2022, 54 : 101 - 112
  • [30] Impact of COVID-19 : A mathematical model
    Warbhe, S. D.
    Lamba, N. K.
    Deshmukh, K. C.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (01) : 77 - 87