Travelling wave solutions in non-local convolution diffusive competitive-cooperative systems

被引：22

作者：

Yu, Zhi-Xian ^{[1
]}

Yuan, Rong ^{[2
]}

机构：

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

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2011年 / 76卷 / 04期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

travelling wave; cross-iteration; convolution; competitive-cooperative; Schauder's fixed-point theorem; FRONTS; MODEL; EQUATIONS; EXISTENCE; PERSISTENCE; UNIQUENESS; STABILITY; DISEASE; DELAY;

D O I：

10.1093/imamat/hxq048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of travelling wave solutions for the non-local convolution diffusion two-species competitive-cooperative systems by using Schauder's fixed-point theorem and a cross-iteration technique. If the non-local diffusion kernel J(1)(x) = J(2)(x) = delta(x) + delta(n)(x) where is the Dirac delta function, then we can obtain the results in Huang & Zou (2006, Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity. Acta Math. Appl. Sinica, 22, 243-256) and the existence of travelling waves for the corresponding Laplacian diffusion two-species competitive-cooperative systems.

引用

页码：493 / 513

页数：21