文献类型：期刊文献

英文题名：Instability of spiky steady states for S-K-T biological competing model with cross-diffusion

作者：Wang, Li[1];Wu, Yaping[1,3];Xu, Qian[2]

第一作者：Wang, Li

通讯作者：Wu, YP[1]

机构：[1]Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China;[2]Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China;[3]Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China

第一机构：Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

通讯机构：[1]corresponding author), Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China.

年份：2017

卷号：159

起止页码：424-457

外文期刊名：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录：;EI(收录号：20171303498199);Scopus(收录号：2-s2.0-85016031069);WOS:【SCI-EXPANDED(收录号:WOS:000404309400019)】；

基金：The authors are grateful for the anonymous referees for their useful suggestions which helped to improve the exposition of the current paper. The work is supported by NSFC (Nos. 11471221, 11226178, and 11501031), and Beijing Municipal Education Commission (KZ201310028030).

语种：英文

外文关键词：Cross-diffusion system; Spiky steady states; Spectral analysis

摘要：This paper is concerned with the stability/instability of a type of positive spiky steady states for a quasi-linear cross-diffusion system describing two species competition. By detailed spectral analysis, it is proved that the spiky steady states for the related shadow system are linearly unstable when the diffusion rate is small enough and the positive spiky steady states for the original cross-diffusion system are unstable when the cross diffusion rate for one species is large enough and the diffusion rate of another species is small. (C) 2017 Elsevier Ltd. All rights reserved.