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math.AP2026
A coupled prediction-correction Hughes' model for congested crowd motion
Hamza Ennaji, Noureddine Igbida, Ghadir Jradi +1
In this work, we introduce a new macroscopic model for crowd motion inspired by the celebrated Hughes' model \cite{Hughes2002, Hughes2003}, which couples a nonlinear conservation l…
math.AP2025
Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas
Mariam Al Khatib, Said Gounane, Noureddine Igbida +1
This study investigates the complex dynamic interactions between two typed populations coexisting within a shared space. We propose both theoretical and numerical study to analyze…
math.AP2023
Prediction-Correction Pedestrian Flow by Means of Minimum Flow Problem
Hamza Ennaji, Noureddine Igbida, Ghadir Jradi
We study a new variant of mathematical prediction-correction model for crowd motion. The prediction phase is handled by a transport equation where the vector field is computed via…