TRAVELING WAVE SOLUTIONS OF A REACTION-DIFFUSION PREDATOR-PREY MODEL

被引：0
|
作者：
Liu, Jiang [1 ]
Shang, Xiaohui [1 ]
Du, Zengji [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 05期
关键词：
Reaction-diffusion; predator-prey model; traveling wave; upper-lower solutions; Schauder's fixed point theorem; MIXED MONOTONICITY; NONLOCAL DELAY; SYSTEMS; FRONTS;
D O I：
10.3934/dcdss.2017057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the dynamics of traveling wave solutions for a reaction-diffusion predator-prey model with a nonlocal delay. By using Schauder's fixed point theorem, we establish the existence result of a traveling wave solution connecting two steady states by constructing a pair of upper-lower solutions which are easy to construct in practice. We also investigate the asymptotic behavior of traveling wave solutions by employing the standard asymptotic theory.
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页码：1063 / 1078
页数：16
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