具有非局部时滞的Lotka-Volterra竞争系统的行波解  

Traveling wave solutions for Lotka-Volterra competitive systems with nonlocal delay

作　　者：刘蕊蕊 廖代琴 张存华[1] LIU Rui-rui;LIAO Dai-qin;ZHANG Cun-Hua(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《高校应用数学学报(A辑)》2025年第1期89-97,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(12261054)。

摘　　要：该文考虑了具有非局部时滞的两种群竞争系统的行波解,借助于具有非局部时滞反应扩散方程行波解的存在性理论,证明了当选取特定核函数且波速c大于某临界值时,连接系统两个半平凡平衡点行波解的存在性.This article considers the traveling wave solutions of a two-species competition system with nonlocal delay.By means of the theory of existence for the traveling wave solutions of reaction-diffusion equations with nonlocal delay,the existence of the traveling wave solutions connecting two semi-trivial equilibria of the systems is proved when a particular kernel function is selected and the wave velocity c is greater than a critical value.

关 键 词：反应扩散方程 非局部时滞 行波解 存在性 

分 类 号：O175.26[理学—数学]