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