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On a Fractal–Fractional-Based Modeling for Influenza and Its Analytical Results

  • Hasib Khan [1] ; Altaf Hussain Rajpar [3] ; Jehad Alzabut [4] ; Muhammad Aslam [5] ; Sina Etemad [2] ; Shahram Rezapour [6]
    1. [1] Prince Sultan University

      Prince Sultan University

      Arabia Saudí

    2. [2] Azarbaijan Shahid Madani University

      Azarbaijan Shahid Madani University

      Irán

    3. [3] Jouf University
    4. [4] Prince Sultan University & OST˙IM Technical University
    5. [5] Shaheed Benazir Bhutto University
    6. [6] Duy Tan University & Azarbaijan Shahid Madani University & China Medical University Hospital
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 2, 2024
  • Idioma: inglés
  • Enlaces
  • Resumen

    • There have been reports of influenza virus resistance in the past, and because this virus has the potential of resistance to cause several pandemics and also is lethal, we investigate the conditions under which the strains coexist as a result. The non-resistant strain undergoes mutation, giving rise to the resistant strain. The incidence rates of the nonresistant and saturated-resistant strains are bi-linear and saturated, respectively. In this study, two flu strain models (resistant and non-resistant) are investigated in a fractal– fractional sense, and the presence of solutions, stability, and numerical simulations are examined for various orders and derivative dimensions. Using numerical values from freely accessible open resources, a numerical technique that is based on Lagrange’s interpolation polynomial is constructed and validated for a particular example.

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