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Chaotic dynamics of a fractional order glucose-insulin regulatory system Research Articles

Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain,rkarthiekeyan@gmail.com,atiyeh.bayani@yahoo.com,sajad.jafari@tdtu.edu.vn,mrs.anithakarthikeyan@gmail.com,iqtadarqau@gmail.com

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 7,   Pages 1108-1118 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 and 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 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.

Keywords: Diabetes mellitus     Chaos     Bifurcation     Multistability     Antimonotonicity    

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Chaotic dynamics of a fractional order glucose-insulin regulatory system

Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain,rkarthiekeyan@gmail.com,atiyeh.bayani@yahoo.com,sajad.jafari@tdtu.edu.vn,mrs.anithakarthikeyan@gmail.com,iqtadarqau@gmail.com

Journal Article