[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] 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 …

Qualitative and numerical analysis to a time-fractional Stefan convection-diffusive model using Riemann-Liouville and Caputo operators

H Aal-Rkhais - Results in Nonlinear Analysis, 2025 - nonlinear-analysis.com
The importance of the time-fractional Stefan problem (SP) comes from its wide physical
applications. In this study, we assume an advective-diffusive flux to derive the model of the …

[PDF][PDF] Analyzing the Stability of Caputo Fractional Difference Equations with Variable Orders

S Momani, IM Batiha, N Djenina, A Ouannas - researchgate.net
This research aims to explore the complex stability of Fractional Variable Order Discrete
Time Systems by introducing new stability criteria. To achieve this, we utilize the properties …