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Talk Abstract
Favored Places in the Selfish Herd

Carl Simon
Department of Mathematics
University of Michigan

In his paper "Geometry for the Selfish Herd," Bill Hamilton showed how security issues would lead "selfish" animals in a one-dimenional space to group together. We look at a two-dimensional habitat and include food along with security as an external parameter. We present a mathematical model, a simulation of the model, and comparison with behavioral data of silverside in a shallow pool.

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1998-1999 Mathematics in Biology