Paper Info
Title
Chaos in a fractional-order cancer system
Abstract
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.
Year
DOI
Venue
2014
10.1109/ECC.2014.6862202
ECC
Keywords
Field
DocType
biological tissues,cancer,chaos,differential equations,stability,activated immune system cells,cancer growth,chaotic system,fractional-order cancer system,fractional-order differential equations,fractional-order dynamical model,healthy tissue cells,mathematical model,stability analysis,tumor cells,fractional calculus,chaotic attractor,tumor growth
Cancer Model,Applied mathematics,Control theory,Equilibrium point analysis,Chaotic systems,Chaotic,Mathematics,Cancer
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Ibrahima N'Doye1416.68
Holger Voos211834.98
Mohamed Darouach326142.82