Sébastien Motsch

Title : Individual displacement in biology : a new model for fish behavior

Abstract : In this talk, we start by looking at classical models for animal displacement (used for ants, cockroaches, fishes...). Those models don't fit with our experiment data on fishes, therefore we introduce a new model to describe fish behavior: the so-called "Persistent Turning Walker" (PTW) model.
   Then, we study the long time dynamic of the PTW model. In this goal, we derive a macroscopic model (a diffusion equation in this case) from the PTW model, using two different approaches : firstly with probabilistic tools and secondly with kinetic methods.
  Finally, we show recent advances to take into account interactions between fishes in the PTW model.