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A new mathematical model for the glycolysis phenomenon involving Caputo fractional derivative: Well posedness, stability and bifurcation

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  • Belmahi, Naziha
  • Shawagfeh, Nabil

Abstract

In this work, we propose a new model for the glycolysis phenomenon involving Caputo derivative. We establish rigourously the existence and uniqueness of a positive solution to this system, then we discuss the stability and the Hopf bifurcation. The dynamics exhibited by the fractional system showed that the new model represents the glycolysis phenomenon more accurately than the corresponding classical first order system. Differences are illustrated by performing some numerical simulations, in which our main findings are confirmed.

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  • Belmahi, Naziha & Shawagfeh, Nabil, 2021. "A new mathematical model for the glycolysis phenomenon involving Caputo fractional derivative: Well posedness, stability and bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920309127
    DOI: 10.1016/j.chaos.2020.110520
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    References listed on IDEAS

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    1. Ghanbari, Behzad & Djilali, Salih, 2020. "Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Ahmad, B. & Alhothuali, M.S. & Alsulami, H.H. & Kirane, M. & Timoshin, S., 2015. "On a time fractional reaction diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 199-204.
    3. Xiao-Bao Shu & Fei Xu, 2013. "The Existence of Solutions for Impulsive Fractional Partial Neutral Differential Equations," Journal of Mathematics, Hindawi, vol. 2013, pages 1-9, January.
    4. Owolabi, Kolade M. & Karaagac, Berat, 2020. "Chaotic and spatiotemporal oscillations in fractional reaction-diffusion system," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    5. Altan, Aytaç & Karasu, Seçkin & Bekiros, Stelios, 2019. "Digital currency forecasting with chaotic meta-heuristic bio-inspired signal processing techniques," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 325-336.
    6. Jajarmi, Amin & Arshad, Sadia & Baleanu, Dumitru, 2019. "A new fractional modelling and control strategy for the outbreak of dengue fever," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    7. Deshpande, Amey S. & Daftardar-Gejji, Varsha & Sukale, Yogita V., 2017. "On Hopf bifurcation in fractional dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 189-198.
    8. Altan, Aytaç & Karasu, Seçkin, 2020. "Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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    1. Miwadinou, C.H. & Olabodé, D.L. & Monwanou, A.V. & Enjieu Kadji, H.G. & Chabi Orou, J.B., 2023. "Nonlinear dynamics and passive control of GLYCOLYTIC oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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