[HTML][HTML] On discrete FitzHugh–Nagumo reaction–diffusion model: Stability and simulations

IM Batiha, O Ogilat, A Hioual, A Ouannas… - … Differential Equations in …, 2024 - Elsevier
This research paper focuses on the analysis of a discrete FitzHugh–Nagumo reaction–
diffusion system. We begin by discretizing the FitzHugh–Nagumo reaction–diffusion model …

[HTML][HTML] A New Investigation on Dynamics of the Fractional Lengyel-Epstein Model: Finite Time Stability and Finite Time Synchronization

HM Almimi, M Abu Hammad, G Farraj, I Bendib… - Computation, 2024 - mdpi.com
In this paper, we present an investigation into the stability of equilibrium points and
synchronization within a finite time frame for fractional-order Lengyel–Epstein reaction …

[HTML][HTML] Stability analysis and numerical simulations of a discrete-time epidemic model

IM Batiha, MS Hijazi, A Hioual, A Ouannas… - … Differential Equations in …, 2025 - Elsevier
This research investigates a discrete epidemic reaction–diffusion model, focusing on the
nuances of both local and global stability. By employing second-order difference schemes …

Finite-Time Stability Analysis of a Discrete-Time Generalized Reaction–Diffusion System.

OA Almatroud, A Ouannas - Mathematics (2227-7390), 2024 - search.ebscohost.com
This paper delves into a comprehensive analysis of a generalized impulsive discrete
reaction–diffusion system under periodic boundary conditions. It investigates the behavior of …