Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives

Nadjette Debbouche, A. Othman Almatroud, Adel Ouannas and Iqbal M. Batiha

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: Modeling glucose-insulin regulatory system plays a key role for treating diabetes, a serious health problem for numerous patients. The effect of the incommensurate fractional-order derivatives on a glucose-insulin regulatory model is studied in this work. It has been shown that the model exhibits some interesting dynamics, such as chaos and coexisting attractors, in response of a specific change in such derivatives’ values, even if it was slight. When comparing such model with some previous models, we have deduced a clear presence of wider chaotic regions once the values of these incommensurate-orders are changed.

Keywords: Incommensurate fractional-order model; Chaotic behavior; Coexisting hidden attractors; Periodic cycles; Bifurcation; Chaos (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309668

DOI: 10.1016/j.chaos.2020.110575

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