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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…