Integrodifference equations, Allee effects, and invasions

被引：119

作者：

Wang, MH

Kot, M

Neubert, MG

机构：

[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA

[2] Woods Hole Oceanog Inst, Dept Biol, Woods Hole, MA 02543 USA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2002年 / 44卷 / 02期

关键词：

integrodifference equations; Alee effects; invasion models; traveling waves;

D O I：

10.1007/s002850100116

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Models that describe the spread of invading organisms often assume no Allee effect. In contrast, abundant observational data provide evidence for Allee effects. We study an invasion model based on an integrodifference equation with an Allee effect. We derive a general result for the sign of the speed of invasion. We then examine a special, linear-constant, Allee function and introduce a numerical scheme that allows us to estimate the speed of traveling wave solutions.

引用

页码：150 / 168

页数：19