46 citations · 60 across the 4 of their papers we have counts for
4 papers
Stability Analysis of a Diffusive SVIR Epidemic Model with Distributed Delay, Imperfect Vaccine and General Incidence Rate
Achraf Zinihi, Mostafa Tahiri, Moulay Rchid Sidi Ammi
In this chapter, we consider a reaction-diffusion SVIR infection model with dis-tributed delay and nonlinear incidence rate. The wellposedness of the proposed model is proved. By m…
Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo (ABC) fractional derivatives. We obtain a special solution using an iterative scheme via Laplace transformati…
Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
The main aim of the present work is to study and analyze a reaction-diffusion fractional version of the SIR epidemic mathematical model by means of the non-local and non-singular A…
Global stability of a Caputo fractional SIRS model with general incidence rate
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a unique positive solution to the model is proved. Stability analysis of the disease free eq…