On the reaction-diffusion replicator systems: spatial patterns and asymptotic behaviour

被引：9
|
作者：
Novozhilov, A. S. [1 ,2 ]
Posvyanskii, V. P. [1 ]
Bratus, A. S. [1 ,2 ]
机构：
[1] Moscow State Univ Railway Engn, Moscow 127994, Russia
[2] Lomonosov Moscow State Univ, Moscow 119992, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2011年 / 26卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
TRAVELING-WAVES; HYPERCYCLES; STABILITY; PARASITES; DEPENDENCE; EVOLUTION; MODEL;
D O I：
10.1515/RJNAMM.2011.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The replicator equation is ubiquitous for many areas of mathematical biology. One of the major shortcomings of this equation is that it does not allow for an explicit spatial structure. Here we review analytical approaches to include spatial variables in the system. We also provide a concise exposition of results concerning the appearance of spatial patterns in replicator reaction diffusion systems.
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页码：555 / 564
页数：10
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