activity
20202026
most citedGlobal and local asymptotic stability of an epidemic reaction-diffusion model with a nonlinear incidence

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2026

Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions

Redouane Douaifia, Salem Abdelmalek, Mokhtar Kirane

A class of coupled time-space fractional reaction-diffusion systems derived from reversible chemical reactions over a bounded domain is investigated. Employing mainly an appropriat…

math.AP2025

On the global existence and uniform-in-time bounds for three-component reaction-diffusion systems with mass control and polynomial growth

Redouane Douaifia, Salem Abdelmalek, Mokhtar Kirane

We investigate a class of three-component reaction-diffusion systems subject to mass control and a newly introduced structural assumption, referred to as linear intermediate weight…

math.NA2022

A high-order predictor-corrector method for initial value problems with fractional derivative involving Mittag-Leffler kernel: epidemic model case study

Sami Aljhani, Mohd Salmi Md Noorani, Redouane Douaifia +1

In this paper, we propose a numerical scheme of the predictor-corrector type for solving nonlinear fractional initial value problems, the chosen fractional derivative is called the…

math.AP2020★ 1 cited

Global and local asymptotic stability of an epidemic reaction-diffusion model with a nonlinear incidence

Lamia Djebara, Redouane Douaifia, Salem Abdelmalek +1

The aim of this paper is to study the dynamics of a reaction--diffusion SIS (susceptible-infectious-susceptible) epidemic model with a nonlinear incidence rate describing the trans…

math.NA2020

A Newton interpolation based predictor-corrector numerical method for fractional differential equations with an activator-inhibitor case study

Redouane Douaifia, Samir Bendoukha, Salem Abdelmalek

This paper presents a new predictor-corrector numerical scheme suitable for fractional differential equations. An improved explicit Atangana-Seda formula is obtained by considering…