46 citations · 349 across the 42 of their papers we have counts for
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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…
Dynamical Behavior of a Stochastic Epidemiological Model: Stationary Distribution and Extinction of a SIRS Model with Stochastic Perturbations
Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
This paper deals with a new epidemiological model of SIRS with stochastic perturbations. The primary objective is to establish the existence of a unique non-negative nonlocal solut…
Optimal Control of a Diffusive Epidemiological Model Involving the Caputo-Fabrizio Fractional Time-Derivative
Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
In this work we study a fractional SEIR biological model of a reaction-diffusion, using the non-singular kernel Caputo-Fabrizio fractional derivative in the Caputo sense and employ…
Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with Operator and Mittag-Leffler Kernel
Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
This paper investigates a novel nonlinear singular fractional SI model with the operator and the Mittag-Leffler kernel. The initial investigation includes the existence, uniq…