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 and Abdulaziz H. Alghtani

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: 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: asymptotic stability; glycolysis system; linear control; lyapunov function; reaction-diffusion model; Selkov system; synchronization (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Pages: 11 pages
Date: 2021-11-15
New Economics Papers: this item is included in nep-ore
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Published in Entropy, 15, November, 2021, 23(11). ISSN: 1099-4300

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