Mathematical Modeling of Skin Cancer with the Effect of Stress

Yıl 2024, Cilt: 40 Sayı: 2, 429 - 449, 31.08.2024

Şemsettin Tunca , M. Tamer Senel , Fatma Özköse

Öz

This paper introduces a mathematical model for skin cancer, formulated by fractional order differential equations
(FODE). Considering the importance of the stress factor, it has been included in the model and its effect on
tumor cells has been scrutinized. The study examines the local stability of equilibrium points and evaluates
the impact of fractional derivatives on the dynamic behavior of the system. In addition, numerical simulations
are conducted to analyze the influence of fractional order derivatives and distinct parameters on population
dynamics. The presentation of graphs based on various fractional orders and parameter values aids in the
visualization of the findings. The study further investigates the impact of stress on tumor cells. The outcomes
are expected to provide valuable insights to medical researchers in developing appropriate measures for screening
and treating skin cancer.

Anahtar Kelimeler

Fractional-order differential equations, skin cancer, numerical solutions, existence and uniqueness

Kaynakça

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