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Chaotic dynamics of a fractional order glucose-insulin regulatory system
- Source :
- Frontiers of Information Technology & Electronic Engineering. 21:1108-1118
- Publication Year :
- 2019
- Publisher :
- Zhejiang University Press, 2019.
-
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.
- Subjects :
- Equilibrium point
Computer Networks and Communications
Chaotic
Complex system
Lyapunov exponent
01 natural sciences
Stability (probability)
010305 fluids & plasmas
symbols.namesake
Order (biology)
Hardware and Architecture
0103 physical sciences
Signal Processing
symbols
Statistical physics
Electrical and Electronic Engineering
010301 acoustics
Bifurcation
Multistability
Mathematics
Subjects
Details
- ISSN :
- 20959230 and 20959184
- Volume :
- 21
- Database :
- OpenAIRE
- Journal :
- Frontiers of Information Technology & Electronic Engineering
- Accession number :
- edsair.doi...........9ed4434abfc7b37aac8e621806e691ea