Stability of Traveling Wavefronts for a Spatially Nonlocal Population Model with Delay  

一类空间非局部的时滞种群模型波前解的稳定性

作　　者：LIU Kai-kai YANG Yun-rui LI Xiao-wu 刘凯凯;杨赟瑞;李孝武(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China

出　　处：《Chinese Quarterly Journal of Mathematics》2022年第1期37-51,共15页数学季刊（英文版）

基　　金：Supported by the NSF of China(Grant No.11761046);Science and Technology Plan Foundation of Gansu Province of China(Grant No.20JR5RA411);Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.

摘　　要：The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weightedenergy method and comparison principle.The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions.

关 键 词：STABILITY WAVEFRONTS Weighted-energy method 

分 类 号：O175.26[理学—数学]