Analytic and Numerical Studies of a Simple Model of Attractive-Repulsive Swarms

We study the equilibrium solutions of an integrodifferential equation used to model one-dimensional biological swarms. We assume that the motion of the swarm is governed by pairwise interactions, or a convolution in the continuous setting, and derive a continuous model from conservation laws. The...

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Bibliographic Details
Main Author: Ronan, Andrew S.
Format: Others
Published: Scholarship @ Claremont 2011
Subjects:
Online Access:http://scholarship.claremont.edu/hmc_theses/11
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1010&context=hmc_theses