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The Impact of Random Noise on the Dynamics of COVID‐19 Epidemic Model

Author

Listed:
  • Amine El Koufi
  • Nouhaila El Koufi
  • Abdelkrim Bennar
  • Namana Seshagiri Rao

Abstract

At the end of 2019, the world knew the propagation of a new pandemic named COVID‐19. This disease harmed the exercises of humankind and changed our way of life. For modeling and studying infectious illness transmission, mathematical models are helpful tools. Thus, in this paper, taking into account the effect of the intensity of the noises, we define a threshold value Πs of the model, which determines the extinction and persistence of the COVID‐19 pandemic. We give numerical simulations to illustrate the analytical results.

Suggested Citation

  • Amine El Koufi & Nouhaila El Koufi & Abdelkrim Bennar & Namana Seshagiri Rao, 2022. "The Impact of Random Noise on the Dynamics of COVID‐19 Epidemic Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnljam:v:2022:y:2022:i:1:n:4796273
    DOI: 10.1155/2022/4796273
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    References listed on IDEAS

    as
    1. Zhang, Zizhen, 2020. "Corrigendum to a novel covid-19 mathematical model with fractional derivatives: Singular and nonsingular kernels [Chaos Solitons & Fractals 139 (2020) 110060]," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Amine El Koufi & Fathalla A. Rihan, 2022. "The Power of Delay on a Stochastic Epidemic Model in a Switching Environment," Complexity, Hindawi, vol. 2022, pages 1-9, March.
    3. Amine El Koufi & Jihad Adnani & Abdelkrim Bennar & Noura Yousfi, 2019. "Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate," International Journal of Differential Equations, Hindawi, vol. 2019, pages 1-9, August.
    4. Ali, Ishtiaq & Ullah Khan, Sami, 2020. "Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    5. Amine El Koufi, 2022. "The Power of Delay on a Stochastic Epidemic Model in a Switching Environment," Complexity, John Wiley & Sons, vol. 2022(1).
    6. Higazy, M., 2020. "Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    7. Kassa, Semu M. & Njagarah, John B.H. & Terefe, Yibeltal A., 2020. "Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    8. Zhang, Zizhen, 2020. "A novel covid-19 mathematical model with fractional derivatives: Singular and nonsingular kernels," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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