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

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

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.

Suggested Citation

  • Debbouche, Nadjette & Almatroud, A. Othman & Ouannas, Adel & Batiha, Iqbal M., 2021. "Chaos and coexisting attractors in glucose-insulin regulatory system with incommensurate fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309668
    DOI: 10.1016/j.chaos.2020.110575
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    References listed on IDEAS

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    1. Rocco, Andrea & West, Bruce J., 1999. "Fractional calculus and the evolution of fractal phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 535-546.
    2. Shabestari, Payam Sadeghi & Panahi, Shirin & Hatef, Boshra & Jafari, Sajad & Sprott, Julien C., 2018. "A new chaotic model for glucose-insulin regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 44-51.
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