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Dynamics Of Leptospirosis Disease In Context Of Piecewise Classical-Global And Classical-Fractional Operators

Author

Listed:
  • HAIDONG QU

    (Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China)

  • SAYED SAIFULLAH

    (��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

  • JAVED KHAN

    (��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

  • ARSHAD KHAN

    (��Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

  • MATI UR RAHMAN

    (��School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, P. R. China)

  • GENGZHONG ZHENG

    (Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China)

Abstract

In this paper, we use newly introduced piecewise classical-global and classical-fractional operators to study the dynamics of the Leptospirosis disease model. The existence and uniqueness of the solution to piecewise derivatives are examined for the suggested problem. The piecewise iterative Newton polynomial method is used to obtain an approximate solution to the suggested problem. In addition, a numerical scheme for the piecewise Leptospirosis model with integer and fractional orders is established. The numerical simulation of the piecewise derivable problem under consideration is presented in classical as well as various fractional orders.

Suggested Citation

  • Haidong Qu & Sayed Saifullah & Javed Khan & Arshad Khan & Mati Ur Rahman & Gengzhong Zheng, 2022. "Dynamics Of Leptospirosis Disease In Context Of Piecewise Classical-Global And Classical-Fractional Operators," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-15, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402162
    DOI: 10.1142/S0218348X22402162
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    Cited by:

    1. Xu, Changjin & Liu, Zixin & Pang, Yicheng & Akgül, Ali & Baleanu, Dumitru, 2022. "Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and American regions," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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