Entire solutions of a diffusive and competitive Lotka-Volterra type system with nonlocal delays

被引：72
|
作者：
Wang, Mingxin [1 ]
Lv, Guangying [2 ]
机构：
[1] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China
来源：
NONLINEARITY | 2010年 / 23卷 / 07期
关键词：
TRAVELING-WAVE FRONTS; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1088/0951-7715/23/7/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the entire solution of a diffusive and competitive Lotka-Volterra type system with nonlocal delays. The existence of the entire solution is proved by transforming the system with nonlocal delays to a four-dimensional system without delay and using the comparing argument and the sub-super-solution method. Here an entire solution means a classical solution defined for all space and time variables, which behaves as two wave fronts coming from both sides of the x-axis.
引用
收藏
页码：1609 / 1630
页数：22
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