Entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities

被引：11
|
作者：
Meng, Yanling [1 ]
Yu, Zhixian [2 ,3 ]
Hsu, Cheng-Hsiung [4 ]
机构：
[1] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[4] Natl Cent Univ, Dept Math, Taoyuan 32001, Taiwan
来源：
NONLINEARITY | 2019年 / 32卷 / 04期
基金：
上海市自然科学基金;
关键词：
nonlocal dispersal; entire solution; traveling wave front; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVE FRONTS; DIFFERENTIAL-EQUATIONS; UNIQUENESS; EXISTENCE; EVOLUTION; MODEL;
D O I：
10.1088/1361-6544/aaf2e7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the existence and qualitative properties of entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities. We first prove the existence of traveling wave fronts and a spatially independent solution of the system. Then we establish the comparison principles and some upper estimates for solutions of the system with quasimonotone nonlinearities. Mixing the traveling wave fronts with different wave speeds and the spatially independent solution, we derive the existence of entire solutions for the quasimonotone system. Moreover, we investigate various properties of the entire solutions. Of particular interest is the relationship between the entire solutions and the traveling wave fronts. Finally, by introducing two auxiliary quasimonotone systems, we improve our results to nonquasimonotone systems.
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页码：1206 / 1236
页数：31
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