46 citations · 349 across the 42 of their papers we have counts for
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A Koopman Operator Framework for Nonlinear Epidemic Dynamics: Application to an SIRSD Model
Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi
We develop and analyze an SIRSD epidemic model, which extends the classical SIR framework by incorporating waning immunity and disease-induced mortality. A rigorous well-posedness…
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…
Hybrid Method for Simulation of a Fractional COVID-19 Model with Real Case Application
Anwarud Din, Amir Khan, Anwar Zeb +3
In this research, we provide a mathematical analysis for the novel coronavirus responsible for COVID-19, which continues to be a big source of threat for humanity. Our fractional-o…
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…