Obstacle and predator avoidance in a model for flocking

The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a deterministic continuum model of flocking and use it to investigate the linearized response of an infinite extent flock to an obstacle or an attacking pre...

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Bibliographic Details
Published inPhysica. D Vol. 239; no. 12; pp. 988 - 996
Main Authors Mecholsky, Nicholas A., Ott, Edward, Antonsen, Thomas M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.06.2010
Elsevier
Subjects
Avoidance
Density
Disturbances
Dynamic tests
Exact sciences and technology
Flocking
Mathematical models
Obstacle
Obstacles
Physics
Predator
Predators
Swarming
Wave propagation
Wedges
Obstacle
Flocking
Predator
Swarming
Avoidance
Continuum
Wave propagation
Dynamics
Deterministic model
Disturbances
Modelling
Non linear phenomenon
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Summary:The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a deterministic continuum model of flocking and use it to investigate the linearized response of an infinite extent flock to an obstacle or an attacking predator. We show that the steady-state 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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2010.02.007