Entire Solutions for Nonlocal Dispersal Equations with Bistable Nonlinearity: Asymmetric Case

作     者：Li ZHANG Wan Tong LI Zhi Cheng WANG Yu Juan SUN 

作者机构：School of ScienceChang’an UniversityXi’an 710064P.R.China School of Mathematics and StatisticsLanzhou UniversityLanzhou 730000P.R.China ISN LaboratoryXidian UniversityXi’an 710071P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2019年第35卷第11期

页      面：1771-1794页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partially supported by FRFCU(300102128108) the NSF of China(Grant No.11801038) partially supported by the NSF of China(Grant Nos.11671180 and 11731005) partially supported by the NSF of China(Grant No.11371179) partially supported by the NSF of China(Grant No.11201359) 

主　　题：Entire solution traveling wave solution nonlocal dispersal asymmetry 

摘      要：This paper mainly focuses on the entire solutions of a nonlocal dispersal equation with asymmetric kernel and bistable nonlinearity. Compared with symmetric case, the asymmetry of the dispersal kernel function makes more diverse types of entire solutions since it can affect the sign of the wave speeds and the symmetry of the corresponding nonincreasing and nondecreasing traveling *** divide the bistable case into two monostable cases by restricting the range of the variable, and obtain some merging-front entire solutions which behave as the coupling of monostable and bistable waves. Before this, we characterize the classification of the wave speeds so that the entire solutions can be constructed more clearly. Especially, we investigate the influence of the asymmetry of the kernel on the minimal and maximal wave speeds.