Author

Benedetto Piccoli

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Preprint Sep 2026

Optimal Control of Traveler Testing in Epidemic Models

We propose an optimal control framework for mitigating cross-border epidemic spread through testing of incoming travelers. The general model considers multiple countries with SEIR dynamics, while the explicit analysis focuses on a simplified two country SIR system without vaccination. The control variable is a time mea...

M. Chiri, Christopher Denaro, Xiaoqian Gong et al. · 0 citations

Preprint Aug 2026

Conservation Laws with Discontinuous Flux: A First Application to Traffic Flow

This work provides a traffic flow interpretation of the model recently introduced in \cite{ABS2025}. We adapt the conservation law with discontinuous gradient-dependent flux to a macroscopic traffic setting, assuming concave flux functions $f(u)$ and $g(u)$ defined on the density domain $[0,u_{\max}]$. To prevent viola...

Roberta Bianchini, Maya Briani, Benedetto Piccoli · 0 citations