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A Theoretical Study On Fractional Ebola Hemorrhagic Fever Model

Author

Listed:
  • SHAHER MOMANI

    (Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE2Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan)

  • R. P. CHAUHAN

    (Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India)

  • SUNIL KUMAR

    (Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India1Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE)

  • SAMIR HADID

    (Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE4Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman, UAE)

Abstract

The Ebola virus infection (EVI), generally known as Ebola hemorrhagic fever, is a major health concern. The occasional outbreaks of virus occur primarily in certain parts of Africa. Many researches have been devoted to the study of the Ebola virus disease. In this paper, we have taken susceptible-infected-recovered-deceased-environment (SIRDP) system to investigate the dynamics of Ebola virus infection. We adopted fractional operators for a better illustration of model dynamics and memory effects. Initially, the Ebola disease model is modified with Caputo–Fabrizio arbitrary operator in Caputo sense (CFC) and we employed the fixed-point results for the existence and uniqueness of the solution of the fractional system. Further, we adopted the arbitrary fractional conformable and β-conformable derivatives to the alternative representation of the model. For the numerical approximation of the system, we show a numerical technique based on the fundamental theorem of fractional calculus for CFC derivative and a numerical scheme called the Adams–Moulton for conformable derivatives. Finally, for the validation of theoretical results, the numerical simulations are displayed.

Suggested Citation

  • Shaher Momani & R. P. Chauhan & Sunil Kumar & Samir Hadid, 2022. "A Theoretical Study On Fractional Ebola Hemorrhagic Fever Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-21, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400321
    DOI: 10.1142/S0218348X22400321
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