Spreading Speeds of Nonlocal KPP Equations in Heterogeneous Media

作     者：Xing LIANG Tao ZHOU Xing LIANG;Tao ZHOU

作者机构：School of Mathematical Sciences and Wu Wen-Tsun Key Laboratory of MathematicsUniversity of Science and Technology of ChinaHefei 230026P.R.China 

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

年 卷 期：2022年第38卷第1期

页      面：161-178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：Supported by the National Natural Science Foundation of China(Grant Nos.11971454 and 12001514) the Fundamental Research Funds for the Central Universities and the Japan Society for the Promotion of Science 

主　　题：Nonlocal dispersal generalized principal eigenvalue spreading speed heterogeneous media homogenization 

摘      要：This paper is devoted to studying the asymptotic behavior of the solution to nonlocal Fisher-KPP type reaction diffusion equations in heterogeneous *** kernel K is assumed to depend on the ***,we give an estimate of the upper and lower spreading speeds by generalized principal ***,we prove the existence of spreading speeds in the case where the media is periodic or almost periodic by showing that the upper and lower generalized principal eigenvalues are equal.