activity
20242026
most citedFractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator

9 citations · 30 across the 14 of their papers we have counts for

collaborators
Showing 2025 · math.DSShow all

2 papers · 2 filters

math.DS2025★ 2 cited

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…

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.…