Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives

Authors

  • Eiman . University of Malakand
  • Kamal Shah Department of Mathematics University of Malakand
  • Muhammad Sarwar University of Malakand
  • Thabet Abdeljawad Prince Sultan University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6053

Keywords:

Virus mutation model,, Voltera- Lyapunov functions, , piecewise derivative,, Global stability, , Numerical results

Abstract

A virus mutation model under piecewise fractional order derivatives involving Mittag-Leffler type kernel has been studied in this manuscript. As mutation is an important phenomenon for the survival of virus. The concerned study aims to detect the crossover behavior of the dynamics of virus mutation. The considered problem explains a compartmental model with pre and post mutation of virus. Fundamental results related to local and global stability of equilibrium points have been studied by using tools of nonlinear functional analysis. We have deduced positivity and feasibility of for the mentioned model using the fractional order derivatives. In addition, both trivial and non-trivial equilibrium points are computed and reproductive number is also derived. With the help of the considered numerical scheme based on Adam Bashforth method, we have simulated our results graphically for using different values of fractional order.

Author Biographies

  • Eiman ., University of Malakand

    She is PhD Scholar in the Department of Mathematics University of Malakand Pakistan.

  • Muhammad Sarwar, University of Malakand

    He is full professor in Department of Mathematics University of Malakand Pakistan

  • Thabet Abdeljawad, Prince Sultan University

    He is full professor of Mathematics in Prince Sultan University

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Biosciences

License

Copyright (c) 2025 Eiman ., Kamal Shah, Muhammad Sarwar, Thabet Abdeljawad

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How to Cite

Modeling Virus Mutation Dynamics Using Piecewise Fractional Derivatives. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6053. https://doi.org/10.29020/nybg.ejpam.v18i2.6053