Obstacle and predator avoidance by a flock

Details Obstacle and predator avoidance by a flock Obstacle and predator avoidance by a flock

2009-06-19

arxiv.org/abs/0906.3694v1

Physica D, Vol 239 Issue 12, (2010), pp 988-996

Nonlinear Sciences

Adaptation and Self-Organizing Systems

24 pages, 9 figures

Scientific paper

10.1016/j.physd.2010.02.007

The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a continuum model of flocking and use it to investigate the reaction of a flock to an obstacle or an attacking predator. We show that the flock response is in the form of density disturbances that resemble Mach cones whose configuration is determined by the anisotropic propagation of waves through the flock. We analytically and numerically test relations that predict the Mach wedge angles, disturbance heights, and wake widths. We find that these expressions are insensitive to many of the parameters of the model.

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