Open AccessApplication of Caputo-Fabrizio derivative to a cancer model with unknown parameters
Author(s) -
M. M. El-Dessoky,
Muhammad Altaf Khan
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2020429
Subject(s) - chaotic , derivative (finance) , mathematics , fractional calculus , stability (learning theory) , limit (mathematics) , set (abstract data type) , type (biology) , order (exchange) , mathematical analysis , computer science , artificial intelligence , ecology , finance , machine learning , financial economics , economics , biology , programming language
The present work explore the dynamics of the cancer model with fractional derivative. The model is formulated in fractional type of Caputo-Fabrizio derivative. We analyze the chaotic behavior of the proposed model with the suggested parameters. Stability results for the fixed points are shown. A numerical scheme is implemented to obtain the graphical results in the sense of Caputo-Fabrizio derivative with various values of the fractional order parameter. Further, we show the graphical results in order to study that the model behave the periodic and quasi periodic limit cycles as well as chaotic behavior for the given set of parameters.