Dynamics of a reaction-diffusion fractional-order model for M1 oncolytic virotherapy with CTL immune response

Majda El Younoussi, Zakaria Hajhouji, Khalid Hattaf and Noura Yousfi

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: Despite many years of research, cancer continues to be a major worldwide concern. Several researchers proposed their mathematical models to understand and describe the dynamics of tumor cells under some cancer treatments. In this paper, we present a fractional partial differential equation system to describe the dynamics in space and time of the concentration of normal cells, tumor cells, nutrient, M1 virus, and cytotoxic T lymphocytes (CTL) cells, as well as the interaction between them. We study and analyze the equilibrium points of the presented system. The global stability of these equilibrium points is proved by constructing adequate Lyapunov functional for each equilibrium point. Furthermore, we give some numerical simulations to illustrate our results.

Keywords: Oncolytic virotherapy; Fractional-derivative; Immune response; Reaction-diffusion; M1 virus (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001679

DOI: 10.1016/j.chaos.2022.111957

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