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:10.3390/e23111516

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

Nonlinear Dynamic Research Centre (NDRC)

University of Oum El Bouaghi
Irbid National University
University of Malta
The London School of Economics and Political Science
Hunan Normal University
University of Manitoba
Taif University

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

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.

Original language	English
Article number	1516
Journal	Entropy
Volume	23
Issue number	11
DOIs	https://doi.org/10.3390/e23111516
State	Published - Nov 2021

Keywords

Asymptotic stability
Glycolysis system
Linear control
Lyapunov function
Reaction-diffusion model
Selkov system
Synchronization

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10.3390/e23111516

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title = "Synchronization of the glycolysis reaction-diffusion model via linear control law",

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",

author = "Adel Ouannas and Batiha, \{Iqbal M.\} and Stelios Bekiros and Jinping Liu and Hadi Jahanshahi and Aly, \{Ayman A.\} and Alghtani, \{Abdulaziz H.\}",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = nov,

doi = "10.3390/e23111516",

language = "English",

volume = "23",

journal = "Entropy",

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T1 - Synchronization of the glycolysis reaction-diffusion model via linear control law

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

AU - Bekiros, Stelios

AU - Liu, Jinping

AU - Jahanshahi, Hadi

AU - Aly, Ayman A.

AU - Alghtani, Abdulaziz H.

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - Asymptotic stability

KW - Glycolysis system

KW - Linear control

KW - Lyapunov function

KW - Reaction-diffusion model

KW - Selkov system

KW - Synchronization

UR - https://www.scopus.com/pages/publications/85119582705

U2 - 10.3390/e23111516

DO - 10.3390/e23111516

M3 - Article

AN - SCOPUS:85119582705

SN - 1099-4300

VL - 23

JO - Entropy

JF - Entropy

IS - 11

M1 - 1516

ER -

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

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Keywords

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