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Exploring the Stability and Dynamics of Cancer Virotherapy: A Fractional Calculus Approach with GHF Derivative

In: Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells

Author

Listed:
  • Majda El Younoussi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

  • Khalid Hattaf

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick
    Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM))

  • Noura Yousfi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

Abstract

This study presents a new fractional differential equation model for cancer virotherapy that uses the generalized Hattaf fractional (GHF) derivative with a non-singular kernel. The paper rigorously investigates the existence and uniqueness of solutions within this model, providing a fundamental understanding of its mathematical posedness. A comprehensive stability analysis of the model’s equilibrium points has been performed using the GHF derivative to elucidate its dynamical behavior. The results are presented through detailed numerical simulations, which not only validate the theoretical findings but also provide insights into the practical applications of the model in cancer virotherapy.

Suggested Citation

  • Majda El Younoussi & Khalid Hattaf & Noura Yousfi, 2025. "Exploring the Stability and Dynamics of Cancer Virotherapy: A Fractional Calculus Approach with GHF Derivative," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, pages 221-232, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-97461-8_12
    DOI: 10.1007/978-3-031-97461-8_12
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    JEL classification:

    • M1 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration

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