SPATIAL DYNAMICS OF A NONLOCAL PERIODIC REACTION-DIFFUSION MODEL WITH STAGE STRUCTURE

被引：48
|
作者：
Jin, Yu [1 ]
Zhao, Xiao-Qiang [1 ]
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2009年 / 40卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
nonlocal periodic model; spreading speed; traveling waves; positive periodic solution; global attractivity; POPULATION-MODEL; WAVE-FRONTS; TRAVELING-WAVES; STABILITY; EQUATIONS; GROWTH; SPEEDS;
D O I：
10.1137/070709761
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a nonlocal periodic reaction-diffusion population model with stage structure. In the case of unbounded spatial domain, we establish the existence of the asymptotic speed of spread and show that it coincides with the minimal wave speed for monotone periodic traveling waves. In the case of bounded spatial domain, we obtain a threshold result on the global attractivity of either zero or a positive periodic solution.
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页码：2496 / 2516
页数：21
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