Traveling waves for n-species competitive system with nonlocal dispersals and delays

被引：3
|
作者：
Xia, Jing [1 ]
Yu, Zhixian [2 ]
Dong, Yucai [1 ]
Li, Hongyan [1 ]
机构：
[1] Acad Armored Force Engn, Dept Fundamental Courses, Beijing 100072, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 093, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 287卷
基金：
中国国家自然科学基金;
关键词：
Traveling wave; Lotka-Volterra model; Nonlocal diffusion; Competition; Schauder's fixed point theorem; Delay; DIFFUSION-SYSTEMS; EXISTENCE; STABILITY; EQUATIONS; MODELS; ASYMPTOTICS; MICROBIOME; DISEASE;
D O I：
10.1016/j.amc.2016.04.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with traveling waves for n-species competitive Lotka-Volterra system with nonlocal dispersals and delays. Existence of traveling waves which connect the trivial equilibrium and the positive equilibrium indicates that there is a transition zone moving the steady state with no species to the steady state with the coexistence of n species. In order to obtain the result, we first investigate the general theory for the general systems with the nonlocal dispersals by using Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main theoretical results. The work obtained can be seen as a generalization of previous results. (c) 2016 Elsevier Inc. All rights reserved.
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页码：201 / 213
页数：13
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