Entropy (Nov 2021)

Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law

  • Adel Ouannas,
  • Iqbal M. Batiha,
  • Stelios Bekiros,
  • Jinping Liu,
  • Hadi Jahanshahi,
  • Ayman A. Aly,
  • Abdulaziz H. Alghtani

DOI
https://doi.org/10.3390/e23111516
Journal volume & issue
Vol. 23, no. 11
p. 1516

Abstract

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The Selkov system, which is typically employed to model glycolysis phenomena, unveils some rich dynamics and some other complex formations in biochemical reactions. In the present work, the synchronization problem of the glycolysis reaction-diffusion model is handled and examined. In addition, a novel convenient control law is designed in a linear form and, on the other hand, the stability of the associated error system is demonstrated through utilizing a suitable Lyapunov function. To illustrate the applicability of the proposed schemes, several numerical simulations are performed in one- and two-spatial dimensions.

Keywords