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Epidemiological Analysis Of Human Liver Model With Fractional Operator

Author

Listed:
  • MUHAMMAD AZEEM

    (Department of Mathematics and Statistcs, The University of Lahore, Pakistan)

  • MUHAMMAD FARMAN

    (��Institute of Mathematics, Khawaja Fareed, University of Engineering and Information Technology, Rahim Yar Khan, Pakistan‡Faculty of Arts and Sciences, Department of Mathematics, Near East University, Turkey§Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon)

  • MARWAN ABUKHALED

    (�Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE)

  • KOTTAKKARAN SOOPPY NISAR

    (��Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia**School of Technology, Woxsen University, Hyderabad 502345, Telangana, India)

  • ALI AKGÃœL

    (�Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon‡‡Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey§§Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC)

Abstract

This paper will introduce novel techniques for a fractional-order model of the human liver involving the Atangana–Baleanu, Atangana–Toufik, and the Fractal fractional method with the nonsingular kernel. These techniques give more accurate and appropriate results. Existence and uniqueness have been developed with the help of fixed-point theory results. Numerical simulations are done from the developed algorithm of the model to elaborate the effect of fractional values and justify the theoretical results. Such kind of analysis will be useful for further investigation of epidemic diseases, and also provide a better understanding of disease dynamics to overcome the effect of disease in a community.

Suggested Citation

  • Muhammad Azeem & Muhammad Farman & Marwan Abukhaled & Kottakkaran Sooppy Nisar & Ali Akgãœl, 2023. "Epidemiological Analysis Of Human Liver Model With Fractional Operator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400479
    DOI: 10.1142/S0218348X23400479
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    Cited by:

    1. Protyusha Dutta & Nirapada Santra & Guruprasad Samanta & Manuel De la Sen, 2024. "Nonlinear SIRS Fractional-Order Model: Analysing the Impact of Public Attitudes towards Vaccination, Government Actions, and Social Behavior on Disease Spread," Mathematics, MDPI, vol. 12(14), pages 1-29, July.

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