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Frontiers of Information Technology & Electronic Engineering >> 2020, Volume 21, Issue 7 doi: 10.1631/FITEE.1900104

Chaotic dynamics of a fractional order glucose-insulin regulatory system

Affiliation(s): Center for Nonlinear Dynamics, Defence University, Bishoftu 1041, Ethiopia; Institute of Energy, Mekelle University, Mekelle 231, Ethiopia; Department of Biomedical Engineering, Amirkabir University of Technology, Tehran 159163-4311, Iran; Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 700010, Vietnam; Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar; less

Received: 2019-02-24 Accepted: 2020-07-10 Available online: 2020-07-10

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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.

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