A continuum three-zone model for swarms.

@article{Miller2012ACT,
  title={A continuum three-zone model for swarms.},
  author={Jennifer M. Miller and Allison Kolpas and Joao Plinio Juchem Neto and Louis F. Rossi},
  journal={Bulletin of mathematical biology},
  year={2012},
  volume={74 3},
  pages={
          536-61
        }
}
We present a progression of three distinct three-zone, continuum models for swarm behavior based on social interactions with neighbors in order to explain simple coherent structures in popular biological models of aggregations. In continuum models, individuals are replaced with density and velocity functions. Individual behavior is modeled with convolutions acting within three interaction zones corresponding to repulsion, orientation, and attraction, respectively. We begin with a variable-speed… CONTINUE READING
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