CLC number: O415.5
On-line Access: 2020-07-10
Received: 2019-02-24
Revision Accepted: 2019-04-14
Crosschecked: 2019-10-18
Cited: 0
Clicked: 5702
Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain. Chaotic dynamics of a fractional order glucose-insulin regulatory system[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(7): 1108-1118.
@article{title="Chaotic dynamics of a fractional order glucose-insulin regulatory system",
author="Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="7",
pages="1108-1118",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900104"
}
%0 Journal Article
%T Chaotic dynamics of a fractional order glucose-insulin regulatory system
%A Karthikeyan Rajagopal
%A Atiyeh Bayani
%A Sajad Jafari
%A Anitha Karthikeyan
%A Iqtadar Hussain
%J Frontiers of Information Technology & Electronic Engineering
%V 21
%N 7
%P 1108-1118
%@ 2095-9184
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900104
TY - JOUR
T1 - Chaotic dynamics of a fractional order glucose-insulin regulatory system
A1 - Karthikeyan Rajagopal
A1 - Atiyeh Bayani
A1 - Sajad Jafari
A1 - Anitha Karthikeyan
A1 - Iqtadar Hussain
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
IS - 7
SP - 1108
EP - 1118
%@ 2095-9184
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1900104
Abstract: The fractional order model of a glucose-insulin regulatory system is derived and presented. It has been extensively proved in the literature that fractional order analysis of complex systems can reveal interesting and unexplored features of the system. In our investigations we have revealed that the glucose-insulin regulatory system shows multistability and antimonotonicity in its fractional order form. To show the effectiveness of fractional order analysis, all numerical investigations like stability of the equilibrium points, Lyapunov exponents, and bifurcation plots are derived. Various biological disorders caused by an unregulated glucose-insulin system are studied in detail. This may help better understand the regulatory system.
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