399 citations · 1.1k across the 26 of their papers we have counts for
4 papers · 1 filter
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…
Two-way multi-lane traffic model for pedestrians in corridors
Cécile Appert-Rolland, Pierre Degond, Sébastien Motsch
We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the co…
Large scale dynamics of the Persistent Turning Walker model of fish behavior
Pierre Degond, Sébastien Motsch
This paper considers a new model of individual displacement, based on fish motion, the so-called Persistent Turning Walker (PTW) model, which involves an Ornstein-Uhlenbeck process…
Continuum limit of self-driven particles with orientation interaction
Pierre Degond, Sébastien Motsch
We consider the discrete Couzin-Vicsek algorithm (CVA), which describes the interactions of individuals among animal societies such as fish schools. In this article, we propose a k…