Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

被引：2

作者：

Zhang, Qian ^{[1
]}

Zhang, Guo-Bao ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 01期

关键词：

Nonlocal dispersal; Weak competition system; Traveling wavefronts; Entire solutions; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVES; UNIQUENESS; STABILITY;

D O I：

10.1007/s10883-020-09487-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal. Here, an entire solution means a classical solution defined for all space and time variables. This system has traveling wavefronts and enjoys the comparison principle. Based on these traveling wavefronts, we construct some super- and sub-solutions. Then, by using the comparison principle and the super- and sub-solutions method, we establish the existence of front-like entire solutions which behave as two wavefronts coming from the both sides of x-axis. Moreover, some properties of the front-like entire solutions are obtained.

引用

页码：133 / 151

页数：19

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