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Start Over Author "Alsayyed, Omar" Journal axioms (2075-1680)
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1. The FitzHugh–Nagumo Model Described by Fractional Difference Equations: Stability and Numerical Simulation.

Author

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

Subjects
DIFFERENCE equations, COMPUTER simulation, GLOBAL asymptotic stability
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. [ABSTRACT FROM AUTHOR]

Published
2023
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