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

Majda El Younoussi, Khalid Hattaf and Noura Yousfi
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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
Noura Yousfi: Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick

A chapter in Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, 2025, pp 221-232 from Springer

Abstract: 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.

Keywords: Generalized fractional derivative; Stability; Cancer therapy; M1 virus (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-97461-8_12

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DOI: 10.1007/978-3-031-97461-8_12

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