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

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 constan...

Full description

Bibliographic Details
Main Authors: Tareq Hamadneh, Amel Hioual, Omar Alsayyed, Yazan Alaya Al-Khassawneh, Abdallah Al-Husban, Adel Ouannas
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/9/806