1 citations · 3 across the 7 of their papers we have counts for
8 papers
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…
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…