IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i05ns0218348x25500483.html
   My bibliography  Save this article

Semi-Analytical Analysis Of A Fractional-Order Pandemic Dynamical Model Using Non-Local Operator

Author

Listed:
  • MUHAMMAD MARWAN

    (School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China)

  • GAUHAR ALI

    (��Department of Mathematics, Government P. G. Jahanzeb College Swat, Khyber Pakhtunkhwa, Pakistan)

  • FENG LI

    (School of Mathematics and Statistics, Linyi University, Linyi 276005, Shandong, P. R. China)

  • SUHAD ALI OSMAN ABDALLAH

    (��Applied College, Khamis Mushait, King Khalid University, Abha 62529, Saudi Arabia)

  • TAOUFIK SAIDANI

    (�Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia)

Abstract

A significant issue of a deadly virus, CoronaVirus (COV) disease, quickly spreadable among human beings is investigated in this paper. Therefore, fractional-ordered mathematical model representing transmission dynamics of SARS COV-2019 with four components, i.e., Susceptible S(t), Infected I(t), Recovered R(t), and Death D(t) is considered. The main target of this paper is to investigate the existence of solution, stability and their numerical simulations. Therefore, Attangana–Ballenu–Caputo (ABC) derivative is used as a tool to find the existence of solution, whereas Adomian decomposition in combination with the integral (Laplace) transformation (LADM) is utilized for their numerical approximations. Finally, the achieved analytical results are validated and visualized through numerical simulations using MATLAB for the better understanding of dynamics in the transmission of infection disease.

Suggested Citation

  • Muhammad Marwan & Gauhar Ali & Feng Li & Suhad Ali Osman Abdallah & Taoufik Saidani, 2025. "Semi-Analytical Analysis Of A Fractional-Order Pandemic Dynamical Model Using Non-Local Operator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:05:n:s0218348x25500483
    DOI: 10.1142/S0218348X25500483
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500483
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X25500483?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:fracta:v:33:y:2025:i:05:n:s0218348x25500483. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.