Article ID Journal Published Year Pages File Type
842773 Nonlinear Analysis: Theory, Methods & Applications 2009 12 Pages PDF
Abstract

We construct a one-parameter family of self-similar solutions for a nonlinear degenerate multi-dimensional parabolic equation containing a nonlocal term. All these solutions are strictly positive and their integral over the whole space is 1. The equation serves as a replicator dynamics model where the set of strategies is a continuum.

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Physical Sciences and Engineering Engineering Engineering (General)
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Similarity solutions for a multi-dimensional replicator dynamics equation
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