3 citations · 6 across the 12 of their papers we have counts for
13 papers
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…
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…
Stability analysis and optimal control of an HIV/AIDS epidemic model
Nouar Chorfi, Salem Abdelmalek, Samir Bendoukha
In this article, we consider an HIV/AIDS epidemic model with four classes of individuals. We have discussed about basic properties of the system and found the basic reproduction nu…
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…
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…
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…
Complete synchronization of the Newton--Leipnik reaction diffusion chaotic system
Samir Bendoukha, Salem Abdelmalek
In this paper we investigate the reaction--diffusion system corresponding to the Newton--Leipnik chaotic system originally developed to model the rigid body motion through linear f…
On the asymptotic stability of the time--fractional Lengyel--Epstein system
Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha
This paper concerns a time fractional version of the conventional Lengyel--Epstein CIMA reaction model. We define the invariant regions of the system and establish sufficient condi…
On the complete synchronization of a time-fractional reaction-diffusion system with the Newton-Leipnik nonlinearity
Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha +1
In this paper, we consider a time-fractional reaction-diffusion system with the same nonlinearities of the Newton-Leipnik chaotic system. Through analytical tools and numerical res…
The global existence of solutions and asymptotic stability of a reaction-diffusion system
Salem Abdelmalek, Samir Bendoukha, Mokhtar Kirane
This paper studies the solutions of a reaction--diffusion system with nonlinearities that generalise the Lengyel--Epstein and FitzHugh--Nagumo nonlinearities. Sufficient conditions…
Global existence of solutions for an -component reaction--diffusion system with a tridiagonal 2-Toeplitz diffusion matrix and polynomially growing reaction terms
Salem Abdelmalek, Samir Bendoukha
This paper is concerned with the local and global existence of solutions for a generalized -component reaction--diffusion system with a tridiagonal --Toeplitz diffusion matri…
Existence of Global Solutions Via Invariant Regions for a Generalized Reaction-Diffusion System with a Tri-diagonal Toeplitz Matrix of Diffusion Coefficients
Salem Abdelmalek
The aim of this paper is to construct invariant regions of a generalized m-component reaction-diffusion system with a tri-diagonal Toeplitz matrix of diffusion coefficients and pro…
All Invariant Regions and Global Solutions for m-component Reaction-Diffusion Systems with a Tridiagonal Symmetric Toeplitz Matrix of Diffusion Coefficients
Salem Abdelmalek
The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for m-component reaction-diffusion systems with a tridiag…