Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups

We construct a continuum model for the motion of biological organisms experiencing social interactions and study its pattern-forming behavior. The model takes the form of a conservation law in two spatial dimensions. The social interactions are modeled in the velocity term, which is nonlocal in the...

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Veröffentlicht in:	SIAM journal on applied mathematics 2004-01, Vol.65 (1), p.152-174
Hauptverfasser:	Chad M. Topaz, Bertozzi, Andrea L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Aggregation Applied mathematics Kinematics Kinetics Population density Porous materials Rotation Simulation Social interaction Social interaction models Spiral arms Velocity Vortices
Online-Zugang:	Volltext
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