Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation

被引：9

作者：

Guo, Zhiming ^{[1
]}

Guo, Hongpeng ^{[1
]}

Chen, Yuming ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 496卷 / 01期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Temporally discrete reaction-diffusion equation; Travelingwavefront; Integro-difference equation; Upper-lower solution; Delay; FINITE-DIFFERENCE SCHEMES; SYSTEMS; DISPERSAL;

D O I：

10.1016/j.jmaa.2020.124787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the growth of a single species with age structure on an unbounded domain as a prototype, we derive a delayed temporally discrete reaction-diffusion equation. The main result is on the existence of traveling wavefronts of the equation. We first transform the problem into that on the existence of fixed points of a mapping. Then by successfully constructing a pair of upper and lower solutions, we establish the existence of traveling wavefronts by applying the upper-lower solution method. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：22

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