Particle, kinetic, and hydrodynamic models of swarming
José Antonio Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil · Modeling and simulation in science, engineering & technology · 2010
We review the state-of-the-art in the modelling of the aggregation and collective behavior of interacting agents of similar size and body type, typically called swarming. Starting with individual-based models based on “particle”-like assumptions, we connect to hydrodynamic/macroscopic descriptions of collective motion via kinetic theory. We emphasize the role of the kinetic viewpoint in the modelling, in the derivation of continuum models and in the understanding of the complex behavior of the system.