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A Mathematical Model For Nipah Virus Disease By Using Piecewise Fractional Order Caputo Derivative

Author

Listed:
  • KAMAL SHAH

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia†Department of Mathematics, University of Malakand, Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan)

  • AZIZ KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • BAHAAELDIN ABDALLA

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia¶Department of Medical Research, China Medical University, Taichung 40402, Taiwan∥Department of Mathematics Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea**Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho, Health Sciences University, Ga-Rankuwa, South Africa)

  • KHALID ALI KHAN

    (��Unit of Bee Research and Honey Production, Research Center for Advanced Materials Science, King Khalid University, P.O. Box 9004, Abha, 61413, Saudi Arabia§Applied College, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia)

Abstract

In the Caputo sense, the goal of this paper is to develop a thorough analysis for the Nipah virus sickness under piecewise equations with fractional order derivative. Here, we take into account a SIRD-type model with classes for susceptible, infected, recovered, and dead individuals. We evaluate the solution’s viability using the notion of fractional order derivative. The fundamental reproduction number is also calculated. Here, we offer sufficient requirements for the Ulam–Hyers (UH) stability and the existence theory of the solution. We also give some numerical simulations for several compartments using the RK4 approach. In order to deepen our investigation, we therefore investigate the aforementioned disease’s transmission process using some novel fractional calculus notions.

Suggested Citation

  • Kamal Shah & Aziz Khan & Bahaaeldin Abdalla & Thabet Abdeljawad & Khalid Ali Khan, 2024. "A Mathematical Model For Nipah Virus Disease By Using Piecewise Fractional Order Caputo Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24400139
    DOI: 10.1142/S0218348X24400139
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