Chaos in a Fractional-Order Cancer System

被引：0
|
作者：
N'Doye, Ibrahima [1 ]
Voos, Holger [1 ]
Darouach, Mohamed [2 ]
机构：
[1] Univ Luxembourg, Fac Sci Technol & Commun, L-1359 Luxembourg, Luxembourg
[2] Univ Lorraine, Res Ctr Automat Control Nancy CRAN UMR 7039, IUT Longwy, CNRS, F-54400 Cosnes Et Romain, France
来源：
2014 EUROPEAN CONTROL CONFERENCE (ECC) | 2014年
关键词：
Fractional calculus; fractional-order cancer system; chaos; chaotic attractor; tumor growth; MATHEMATICAL-MODEL; EQUATIONS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the fractional-order cancer system. It is based on the chaotic system concept, where the mathematical model of system contains fractional-order derivatives. We develop a fractional-order dynamical model of cancer growth, which includes the interactions between healthy tissue cells, tumor cells, and activated immune system cells, clearly leading to chaotic behavior. We perform equilibrium point analysis, indicate the conditions where chaotic dynamics can be observed, and show the existence of chaos. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate order cancer system with total order less than 3, which exhibits chaos, are presented as well.
引用
收藏
页码：171 / 176
页数：6
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