278 citations · 3.1k across the 101 of their papers we have counts for
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math-ph2007★ 163 cited
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…
math-ph2007★ 278 cited
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…