Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations

Iqbal M. Batiha; Osama Ogilat; Issam Bendib; Adel Ouannas; Iqbal H. Jebril; Nidal Anakira

doi:10.1016/j.csfx.2024.100118

Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations

Iqbal M. Batiha
, Osama Ogilat
, Issam Bendib
, Adel Ouannas
, Iqbal H. Jebril
, Nidal Anakira

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Al Ahliyya Amman University
Frères Mentouri Constantine 1 University
University of Oum El Bouaghi
Sohar University
Applied Science Private University

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

50 Scopus citations

Abstract

The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.

Original language	English
Article number	100118
Journal	Chaos, Solitons and Fractals: X
Volume	13
DOIs	https://doi.org/10.1016/j.csfx.2024.100118
State	Published - Dec 2024

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Epidemic reaction–diffusion systems
Finite-time stability
Finite-time synchronization
Lyapunov function

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10.1016/j.csfx.2024.100118

Cite this

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title = "Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations",

abstract = "The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.",

keywords = "Epidemic reaction–diffusion systems, Finite-time stability, Finite-time synchronization, Lyapunov function",

author = "Batiha, \{Iqbal M.\} and Osama Ogilat and Issam Bendib and Adel Ouannas and Jebril, \{Iqbal H.\} and Nidal Anakira",

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language = "English",

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T1 - Finite-time dynamics of the fractional-order epidemic model

T2 - Stability, synchronization, and simulations

AU - Batiha, Iqbal M.

AU - Ogilat, Osama

AU - Bendib, Issam

AU - Ouannas, Adel

AU - Jebril, Iqbal H.

AU - Anakira, Nidal

PY - 2024/12

Y1 - 2024/12

N2 - The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.

AB - The aim of this paper is to explore finite-time synchronization in a specific subset of fractional-order epidemic reaction–diffusion systems. Initially, we introduce a new lemma for finite-time stability, which extends existing criteria and builds upon previous discoveries. Following this, we design effective state-dependent linear controllers. By utilizing a Lyapunov function, we derive new sufficient conditions to ensure finite-time synchronization within a predefined time frame. Lastly, we present numerical simulations to demonstrate the applicability and effectiveness of the proposed technique.

KW - Epidemic reaction–diffusion systems

KW - Finite-time stability

KW - Finite-time synchronization

KW - Lyapunov function

UR - https://www.scopus.com/pages/publications/85199021329

U2 - 10.1016/j.csfx.2024.100118

DO - 10.1016/j.csfx.2024.100118

M3 - Article

AN - SCOPUS:85199021329

SN - 2590-0544

VL - 13

JO - Chaos, Solitons and Fractals: X

JF - Chaos, Solitons and Fractals: X

M1 - 100118

ER -

Finite-time dynamics of the fractional-order epidemic model: Stability, synchronization, and simulations

Abstract

UN SDGs

Keywords

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