Similarity solutions for a multi-dimensional replicator dynamics equation

被引：7

作者：

Papanicolaou, Vassilis G. ^{[1
]}

Smyrlis, George ^{[2
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] Inst Educ Technol, Dept Math, Athens 12210, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

关键词：

Replicator dynamics problem; Self-similar solutions; Nonlinear degenerate parabolic PDE with a nonlocal term; Laplacian;

D O I：

10.1016/j.na.2009.01.227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3185 / 3196

页数：12

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