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A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel

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  • Boudaoui, Ahmed
  • El hadj Moussa, Yacine
  • Hammouch, Zakia
  • Ullah, Saif

Abstract

In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo–Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the Picard–Lindelöf theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics.

Suggested Citation

  • Boudaoui, Ahmed & El hadj Moussa, Yacine & Hammouch, Zakia & Ullah, Saif, 2021. "A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002125
    DOI: 10.1016/j.chaos.2021.110859
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    References listed on IDEAS

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    1. Owolabi, Kolade M. & Atangana, Abdon, 2017. "Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 111-119.
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    5. Ullah, Saif & Khan, Muhammad Altaf, 2020. "Modeling the impact of non-pharmaceutical interventions on the dynamics of novel coronavirus with optimal control analysis with a case study," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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    Cited by:

    1. Sk, Tahajuddin & Biswas, Santosh & Sardar, Tridip, 2022. "The impact of a power law-induced memory effect on the SARS-CoV-2 transmission," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Hammouch, Zakia & Rasul, Rando R.Q. & Ouakka, Abdellah & Elazzouzi, Abdelhai, 2022. "Mathematical analysis and numerical simulation of the Ebola epidemic disease in the sense of conformable derivative," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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