INVASION TRAVELING WAVE SOLUTIONS IN TEMPORALLY DISCRETE RANDOM-DIFFUSION SYSTEMS WITH DELAYS

被引：5
|
作者：
Xue, Hui [1 ]
Huang, Jianhua [1 ]
Yu, Zhixian [2 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 05期
关键词：
Invasion traveling wave solutions; diffusive competition systems; existence; asymptotic behavior; uniqueness; VOLTERRA COMPETITION MODEL; NEURAL-NETWORKS; EXISTENCE; FRONTS; SPEED; ASYMPTOTICS; UNIQUENESS; DYNAMICS; EQUATIONS;
D O I：
10.3934/dcdss.2017060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the invasion traveling wave solutions for a temporally discrete delayed reaction-diffusion competitive system. The existence of invasion traveling wave solutions is established by using Schauder's fixed point Theorem. Ikeharas theorem is applied to show the asymptotic behaviors. We further investigate the monotonicity and uniqueness invasion traveling waves with the help of sliding method and strong maximum principle.
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页码：1107 / 1131
页数：25
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