Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices

被引：11

作者：

Yu, Zhi-Xian ^{[1
]}

Mei, Ming ^{[2
,3
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada

[3] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2013年 / 56卷 / 03期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

2D lattice systems; traveling waves; asymptotic behavior; uniqueness; nonmonotone nonlinearity; DIFFUSION-EQUATIONS; POPULATION-MODEL; STAGE STRUCTURE; FRONTS; PROPAGATION; EXISTENCE; STABILITY; SPEED;

D O I：

10.4153/CMB-2011-180-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish asymptotics and uniqueness (up to translation) of travelling waves for delayed 2D lattice equations with non-monotone birth functions. First, with the help of Ikehara's Theorem, the a priori asymptotic behavior of travelling wave is exactly derived. Then, based on the obtained asymptotic behavior, the uniqueness of the traveling waves is proved. These results complement earlier results in the literature.

引用

页码：659 / 672

页数：14

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