Scaling mobility patterns and collective movements: deterministic walks in lattices.

@article{Han2010ScalingMP,
  title={Scaling mobility patterns and collective movements: deterministic walks in lattices.},
  author={Xiao-Pu Han and Tao Zhou and Bing-Hong Wang},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={83 5 Pt 2},
  pages={
          056108
        }
}
  • Xiao-Pu HanTao ZhouB. Wang
  • Published 17 December 2010
  • Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Scaling mobility patterns have been widely observed for animals. In this paper, we propose a deterministic walk model to understand the scaling mobility patterns, where walkers take the least-action walks on a lattice landscape and prey. Scaling laws in the displacement distribution emerge when the amount of prey resource approaches the critical point. Around the critical point, our model generates ordered collective movements of walkers with a quasiperiodic synchronization of walkers… 
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