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Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2

Author

Listed:
  • Kaushik Dehingia

    (Department of Mathematics, Sonari College, Sonari 785690, Assam, India
    These authors contributed equally to this work.)

  • Ahmed A. Mohsen

    (Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad 10071, Iraq
    Ministry of Education, Rusafa 1, Baghdad 10071, Iraq
    These authors contributed equally to this work.)

  • Sana Abdulkream Alharbi

    (Department of Mathematics & Statistics, College of Science, Taibah University, Yanbu 41911, Almadinah Almunawarah, Saudi Arabia)

  • Reima Daher Alsemiry

    (Department of Mathematics & Statistics, College of Science, Taibah University, Yanbu 41911, Almadinah Almunawarah, Saudi Arabia)

  • Shahram Rezapour

    (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 53751-71379, Iran
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404332, Taiwan)

Abstract

The prime objective of the current study is to propose a novel mathematical framework under the fractional-order derivative, which describes the complex within-host behavior of SARS-CoV-2 by taking into account the effects of memory and carrier. To do this, we formulate a mathematical model of SARS-CoV-2 under the Caputo fractional-order derivative. We derived the conditions for the existence of equilibria of the model and computed the basic reproduction number R 0 . We used mathematical analysis to establish the proposed model’s local and global stability results. Some numerical resolutions of our theoretical results are presented. The main result of this study is that as the fractional derivative order increases, the approach of the solution to the equilibrium points becomes faster. It is also observed that the value of R 0 increases as the value of β and π v increases.

Suggested Citation

  • Kaushik Dehingia & Ahmed A. Mohsen & Sana Abdulkream Alharbi & Reima Daher Alsemiry & Shahram Rezapour, 2022. "Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2344-:d:855695
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    References listed on IDEAS

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    4. Abdulkafi M. Saeed & Mohammed S. Abdo & Mdi Begum Jeelani, 2021. "Existence and Ulam–Hyers Stability of a Fractional-Order Coupled System in the Frame of Generalized Hilfer Derivatives," Mathematics, MDPI, vol. 9(20), pages 1-17, October.
    5. Tuan, Nguyen Huy & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A mathematical model for COVID-19 transmission by using the Caputo fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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    Cited by:

    1. Huda Abdul Satar & Raid Kamel Naji, 2023. "A Mathematical Study for the Transmission of Coronavirus Disease," Mathematics, MDPI, vol. 11(10), pages 1-20, May.

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