Local versus nonlocal barycenttic interactions in 1 D agent dynamics

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the agents interaction range and (b) a barycentric modulation of the interaction strength. Our modeling framework is based on a discrete two-velocity Boltzmann dynamics which can be analytically discussed. Depending on the span and the modulation of the interaction range, we analytically observe a transition from a purely diffusive regime without definite pattern to a flocking evolution represented by a solitary wave traveling with constant velocity.


Published in:
Mathematical Biosciences and Engineering, 11, 2, 303-315
Year:
2014
Publisher:
Springfield, Amer Inst Mathematical Sciences
Keywords:
Laboratories:




 Record created 2014-01-06, last modified 2018-09-13


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