Entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities

Yanling Meng, Zhixian Yu, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

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.

原文???core.languages.en_GB???
頁(從 - 到)1206-1236
頁數31
期刊Nonlinearity
32
發行號4
DOIs
出版狀態已出版 - 4 3月 2019

指紋

深入研究「Entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities」主題。共同形成了獨特的指紋。

引用此