Spreading Speeds of Nonlocal KPP Equations in Heterogeneous Media
Spreading Speeds of Nonlocal KPP Equations in Heterogeneous Media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.