most citedIdentifying Memory Effects in Epidemics via a Fractional SEIRD Model and Physics-Informed Neural Networks

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

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3 papers

stat.ML2025★ 1 cited

Identifying Memory Effects in Epidemics via a Fractional SEIRD Model and Physics-Informed Neural Networks

Achraf Zinihi

We develop a physics-informed neural network (PINN) framework for parameter estimation in fractional-order SEIRD epidemic models. By embedding the Caputo fractional derivative into…

math.DS2025

Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures

Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies.…

math.OC2025

Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator

Achraf Zinihi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres

The main aim of this study is to analyze a fractional parabolic SIR epidemic model of a reaction-diffusion, by using the nonlocal Caputo fractional time-fractional derivative and e…