Abstract:Collective behavior of herding animals displays a balance between conservative cohesive forces and "'innovation"', or moving towards a goal, as described by Couzin in 2005Couzin in (2005. We have given these forces a quantitative mathematical form that is amenable to numerical simulation. The simulations described herein reproduce the phenomena that Couzin observed and indicate that a nearly 5 per cent critical mass is sufficient to pull the whole population along, but smaller innovative teams fail to attrac… Show more
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