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

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 nov...

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Autores principales:	Adel Ouannas, Iqbal M. Batiha, Stelios Bekiros, Jinping Liu, Hadi Jahanshahi, Ayman A. Aly, Abdulaziz H. Alghtani
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	synchronization linear control asymptotic stability reaction-diffusion model lyapunov function Selkov system Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/85b9f43e0d8444978924034f9b18d580
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spelling	oai:doaj.org-article:85b9f43e0d8444978924034f9b18d5802021-11-25T17:30:26ZSynchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law10.3390/e231115161099-4300https://doaj.org/article/85b9f43e0d8444978924034f9b18d5802021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1516https://doaj.org/toc/1099-4300The 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.Adel OuannasIqbal M. BatihaStelios BekirosJinping LiuHadi JahanshahiAyman A. AlyAbdulaziz H. AlghtaniMDPI AGarticlesynchronizationlinear controlasymptotic stabilityreaction-diffusion modellyapunov functionSelkov systemScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1516, p 1516 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	synchronization linear control asymptotic stability reaction-diffusion model lyapunov function Selkov system Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	synchronization linear control asymptotic stability reaction-diffusion model lyapunov function Selkov system Science Q Astrophysics QB460-466 Physics QC1-999 Adel Ouannas Iqbal M. Batiha Stelios Bekiros Jinping Liu Hadi Jahanshahi Ayman A. Aly Abdulaziz H. Alghtani Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
description	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.
format	article
author	Adel Ouannas Iqbal M. Batiha Stelios Bekiros Jinping Liu Hadi Jahanshahi Ayman A. Aly Abdulaziz H. Alghtani
author_facet	Adel Ouannas Iqbal M. Batiha Stelios Bekiros Jinping Liu Hadi Jahanshahi Ayman A. Aly Abdulaziz H. Alghtani
author_sort	Adel Ouannas
title	Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
title_short	Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
title_full	Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
title_fullStr	Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
title_full_unstemmed	Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
title_sort	synchronization of the glycolysis reaction-diffusion model via linear control law
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/85b9f43e0d8444978924034f9b18d580
work_keys_str_mv	AT adelouannas synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT iqbalmbatiha synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT steliosbekiros synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT jinpingliu synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT hadijahanshahi synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT aymanaaly synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw AT abdulazizhalghtani synchronizationoftheglycolysisreactiondiffusionmodelvialinearcontrollaw
_version_	1718412296160542720

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

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