Chaos in Cancer Tumor Growth Model with Commensurate and Incommensurate Fractional-Order Derivatives. (20th May 2022)

• Record Type: Journal Article
• Authors: Debbouche, Nadjette; Ouannas, Adel; Grassi, Giuseppe; Al-Hussein, Abdul-Basset A.; Tahir, Fadhil Rahma; Saad, Khaled M.; Jahanshahi, Hadi; Aly, Ayman A.
• Other Names: Kim Kwang Gi Academic Editor.
• Is Part Of: Computational and mathematical methods in medicine. Volume 2022(2022)
• Publication Date: 2022-05-20
• Subjects: Medicine -- Computer simulation -- Periodicals; Medicine -- Mathematical models -- Periodicals; 610.11
• DOI: 10.1155/2022/5227503
• Languages: English
• ISSNs: 1748-670X

Abstract

Abstract : Analyzing the dynamics of tumor-immune systems can play an important role in the fight against cancer, since it can foster the development of more effective medical treatments. This paper was aimed at making a contribution to the study of tumor-immune dynamics by presenting a new model of cancer growth based on fractional-order differential equations. By investigating the system dynamics, the manuscript highlights the chaotic behaviors of the proposed cancer model for both the commensurate and the incommensurate cases. Bifurcation diagrams, the Lyapunov exponents, and phase plots confirm the effectiveness of the conceived approach. Finally, some considerations regarding the biological meaning of the obtained results are reported through the manuscript.