Work

The FitzHugh–Nagumo Model Described by Fractional Difference Equations: Stability and Numerical Simulation

Year: 2023

Type: article

Abstract: The aim of this work is to describe the dynamics of a discrete fractional-order reaction–diffusion FitzHugh–Nagumo model. We established acceptable requirements for the local asymptotic stability of the system’s unique equilibrium. Moreover, we employed a Lyapunov functional to show that the constant equilibrium solution is globally asymptotically stable. Furthermore, numerical simulations are shown to clarify and exemplify the theoretical results.

Source: Axioms

DOI: 10.3390/axioms12090806

Authors: Tareq Hamadneh, Amel Hioual, Omar Alsayyed, Yazan Alaya Al-Khassawneh, Abdallah Al-Husban, Adel Ouannas

Institutions: Al-Zaytoonah University of Jordan, Larbi Ben M'hidi University of Oum El Bouaghi, Hashemite University, Zarqa University, Irbid National University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,779

OpenAlex ID: W4386074059

FWCI: 9.88

Cites: 43

Cited by: 56

Related to: 10