Travelling front solution for a class of competition-diffusion system with high-order singular point期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

按检索

Travelling front solution for a class of competition-diffusion system with high-order singular point

Authors:

Shu Wang Chunhong Xie

Institution:

(1) Dept. of Math., Henan Univ., 475001 Kaifeng;(2) Dept. of Math., Nanjing Univ., 210093 Nanjing

Abstract:

In this paper, the existence of travelling front solution for a class of competition-diffusion system with high-order singular point

$w_{it} = d_i w_{ixx} - w_{i^i }^a f_i \left( w \right),x \in R,t > 0,i = 1,2$

(I)

is studied, where d _i,a_i>0 (i=1,2) and w=(w ₁(x,t),w ₂(x,t)). Under the certain assumptions on f, it is showed that if a _i<1 for some i, then (1) has no travelling front solution, if a _i≥1 for i=1,2, then there is a c ₀,c*>0, where c* is called the minimal wave speed of (I), such that if c≥c ₀ or c=c*, then (I) has a travelling front solution, if c<c*, then (I) has no travelling front solution by using the shooting method in combination with a compactness argument. Project supported by both the National (49772161) and Henan Province (984050300) Natural Science Foundations of China.

Keywords:

1991 MR Subject Classification" target="_blank">1991 MR Subject Classification 35K55 35K57 35R35

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏