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Synchronization of the glycolysis reaction-diffusion model via linear control law

Ouannas, Adel, Batiha, Iqbal M., Bekiros, Stelios, Liu, Jinping, Jahanshahi, Hadi, Aly, Ayman A. and Alghtani, Abdulaziz H. (2021) Synchronization of the glycolysis reaction-diffusion model via linear control law. Entropy, 23 (11). ISSN 1099-4300

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Identification Number: 10.3390/e23111516

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.

Item Type: Article
Official URL: https://www.mdpi.com/journal/entropy
Additional Information: © 2021 The Authors
Divisions: Health Policy
Subjects: Q Science > QC Physics
Q Science > QA Mathematics
H Social Sciences > HA Statistics
Date Deposited: 01 Dec 2021 15:39
Last Modified: 17 Apr 2024 17:30
URI: http://eprints.lse.ac.uk/id/eprint/112776

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