Direction-dependent interaction rules enrich pattern formation in an individual-based model of collective behavior
Authored by Cole Zmurchok, Vries Gerda de
Date Published: 2018
DOI: 10.1371/journal.pone.0198550
Sponsors:
National Science and Engineering Research Council of Canada (NSERC)
Platforms:
MATLAB
Model Documentation:
Other Narrative
Mathematical description
Model Code URLs:
https://figshare.com/articles/Direction-dependent_interaction_rules_enrich_pattern_formation_in_an_individual-based_model_of_collective_behavior/6533363
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.
Tags
Simulation
Dynamics
Animal groups
Fish schools
Motion
Aggregations
Communication mechanisms
Hyperbolic model