Speeds of invasion in a model with strong or weak Allee effects

被引：241
|
作者：
Wang, MH [1 ]
Kot, M
机构：
[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA
[2] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
来源：
MATHEMATICAL BIOSCIENCES | 2001年 / 171卷 / 01期
基金：
美国国家科学基金会;
关键词：
reaction-diffusion equation; traveling waves; strong Allee effects; weak Allee effects; linearization;
D O I：
10.1016/S0025-5564(01)00048-7
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study an invasion model based on a reaction-diffusion equation with an Allee effect. We use a special, piecewise-linear, population growth rate. This function allows us to obtain traveling wave solutions and to compute wave speeds for a full range of Allee effects, including weak Allee effects. Some investigators claim that linearization fails to give the correct speed of invasion if there is an Allee effect. We show that the minimum speed for a sufficiently weak Allee may, in fact, be the same as that derived by means of linearization. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：83 / 97
页数：15
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