Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure

被引：14

作者：

Zhang, Xiao ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Traveling waves; Reaction-diffusion; Stage structure; Nonlocal delay; GLOBAL STABILITY; POPULATION-MODEL; HOPF-BIFURCATION; SYSTEM; FRONTS; EQUATIONS; TERMS;

D O I：

10.1016/j.jmaa.2010.07.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a diffusive predator-prey model with nonlocal delay and stage structure is investigated. By using the cross iteration method and Schauder's fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. Numerical simulations are carried out to illustrate the theoretical results. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：475 / 484

页数：10

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