278 citations · 3.1k across the 101 of their papers we have counts for
4 papers · 2 filters
Vision-based macroscopic pedestrian models
Pierre Degond, Cécile Appert-Rolland, Julien Pettré +1
We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier…
Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles
Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac
We consider an Individual-Based Model for self-rotating particles interacting through local alignment and investigate its macroscopic limit. This model describes self-propelled par…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…
A hierarchy of heuristic-based models of crowd dynamics
Pierre Degond, Cécile Appert-Rolland, Mehdi Moussaid +2
We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians…