Chaos in Cancer Tumor Growth Model with Commensurate and Incommensurate Fractional-Order Derivatives

被引：11

作者：

Debbouche, Nadjette ^{[1
]}

Ouannas, Adel ^{[1
]}

Grassi, Giuseppe ^{[2
]}

Al-Hussein, Abdul-Basset A. ^{[3
]}

Tahir, Fadhil Rahma ^{[3
]}

Saad, Khaled M. ^{[4
]}

Jahanshahi, Hadi ^{[5
]}

Aly, Ayman A. ^{[6
]}

机构：

[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria

[2] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy

[3] Univ Basrah, Coll Engn, Elect Engn Dept, Basrah, Iraq

[4] Taiz Univ, Fac Appl Sci, Dept Math, Taizi, Yemen

[5] Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada

[6] Taif Univ, Coll Engn, Dept Mech Engn, POB 11099, Taif 21944, Saudi Arabia

来源：

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2022年 / 2022卷

关键词：

BEHAVIOR;

D O I：

10.1155/2022/5227503

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：13

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