Fractional derivative model for tumor cells and immune system competition

: pp. 288–298
Received: August 14, 2022
Revised: January 31, 2023
Accepted: February 01, 2023
Laboratory of Mathematics, Computer science and Applications, Faculty of Sciences and Techniques Mohammedia, University Hassan-II Casablanca, Mohammedia, Morocco
Laboratory of Mathematics, Computer science and Applications, Faculty of Sciences and Techniques Mohammedia, University Hassan-II Casablanca, Mohammedia, Morocco

Modeling a dynamics of complex biologic disease such as cancer still present a complex dealing.  So, we try in our case to study it by considering the system of normal cells, tumor cells and immune response as mathematical variables structured in fractional-order derivatives equations which express the dynamics of cancer's evolution under immunity of the body.  We will analyze the stability of the formulated system at different equilibrium points.  Numerical simulations are carried out to get more helpful and specific outcome about the variations of the cancer's dynamics.

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Mathematical Modeling and Computing, Vol. 10, No. 2, pp. 288–298 (2023)