The Stability of Traveling Waves with Non-critical Speeds for Some Competition Systems  

作　　者：Ye Zhao 

机构地区：[1]Department of Mathematics and Physics,Beijing Institute of Petrolchemical-Technology,Beijing 102617,China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第4期643-652,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10671131);Beijing Natural Science Foundation (No.1092006)

摘　　要：This paper is concerned with some quasilinear cross-diffusion systems which model competing species in mathematical ecology.By detailed spectral analysis,each traveling wave solution with non-critical speed is proved to be locally exponentially stable to perturbations in some exponentially weighted spaces.

关 键 词：traveling waves asymptotic stability spectral analysis 

分 类 号：O141.4[理学—数学] Q141[理学—基础数学]