Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives. (February 2021)

• Record Type: Journal Article
• Authors: Debbouche, Nadjette; Almatroud, A. Othman; Ouannas, Adel; Batiha, Iqbal M.
• Is Part Of: Chaos, solitons and fractals. Volume 143(2021)
• Publication Date: 2021-02
• Subjects: Incommensurate fractional-order model -- Chaotic behavior -- Coexisting hidden attractors -- Periodic cycles -- Bifurcation -- Chaos; 70-02 -- 50-03 -- 10-24 -- 10-08 -- 10-03; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110575
• Languages: English
• ISSNs: 0960-0779

Abstract

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.