Mathematical model of evolutionary branching

被引：31
作者：
Genieys, S. [1 ]
Bessonov, N. [2 ]
Volpert, V. [1 ]
机构：
[1] Univ Lyon 1, CNRS, Camille Jordon Inst Math, UMR 5208, F-69622 Villeurbanne, France
[2] Inst Mech Engn Problems, St Petersburg 199178, Russia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 11-12期
关键词：
Adaptive dynamics; Evolutionary branching; Non-local Fisher equation; Darwin's divergence principle; DYNAMICS; POPULATIONS;
D O I：
10.1016/j.mcm.2008.07.018
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This work is devoted to the study of an evolutionary system where similar individuals are competing for the same resources. Mathematically it is a Fisher equation with an integral term describing this non-local competition. Due to this competition, an initially monomorphic population may split into two distinct sub-populations, hence exhibiting a branching capacity. This framework can be applied to various contexts where recognizers are competing for some signals. The pattern formation capacity of this model is investigated analytically and numerically. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：2109 / 2115
页数：7
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