Mathematical Modeling of Skin Cancer with the Effect of Stress

Authors : Şemsettin Tunca, M Tamer Senel, Fatma Özköse

Pages : 429-449

View : 577 | Download : 525

Publication Date : 2024-08-31

Article Type : Research Paper

Abstract :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.
Keywords : Fractional order differential equations, skin cancer, numerical solutions, existence and uniqueness