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Direction-dependent interaction rules enrich pattern formation in an individual-based model of collective behavior

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  • Cole Zmurchok
  • Gerda de Vries

Abstract

Direction-dependent interaction rules are incorporated into a one-dimensional discrete-time stochastic individual-based model (IBM) of collective behavior to compare pattern formation with an existing partial differential equation (PDE) model. The IBM is formulated in terms of three social interaction forces: repulsion, alignment, and attraction, and includes information regarding conspecifics’ direction of travel. The IBM produces a variety of spatial patterns which qualitatively match patterns observed in a PDE model. The addition of direction-dependent interaction rules exemplifies how directional information transfer within a group of individuals can result in enriched pattern formation. Our individual-based modelling framework reveals the influence that direction-dependent interaction rules such as biological communication can have upon individual movement trajectories and how these trajectories combine to form group patterns.

Suggested Citation

  • Cole Zmurchok & Gerda de Vries, 2018. "Direction-dependent interaction rules enrich pattern formation in an individual-based model of collective behavior," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-23, June.
    • Handle: RePEc:plo:pone00:0198550
    DOI: 10.1371/journal.pone.0198550
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