教師資料查詢 | 類別: 期刊論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題:Traveling wave front for a two-component lattice dynamical system arising in competition models
學年100
學期2
出版(發表)日期2012/04/01
作品名稱Traveling wave front for a two-component lattice dynamical system arising in competition models
作品名稱(其他語言)
著者Guo, Jong-Shenq; Wu, Chang-Hong
單位淡江大學數學學系
出版者Maryland Heights: Academic Press
著錄名稱、卷期、頁數Journal of Differential Equations 252(8), pp.4357-4391
摘要We study traveling front solutions for a two-component system on a one-dimensional lattice. This system arises in the study of the competition between two species with diffusion (or migration), if we divide the habitat into discrete regions or niches. We consider the case when the nonlinear source terms are of Lotka–Volterra type and of monostable case. We first show that there is a positive constant (the minimal wave speed) such that a traveling front exists if and only if its speed is above this minimal wave speed. Then we show that any wave profile is strictly monotone. Moreover, under some conditions, we show that the wave profile is unique (up to translations) for a given wave speed. Finally, we characterize the minimal wave speed by the parameters in the system.
關鍵字Traveling front; Lattice dynamical system; Competition model; Monostable; Minimal wave speed; Wave profile
語言英文
ISSN0022-0396
期刊性質國外
收錄於SCI
產學合作
通訊作者
審稿制度
國別美國
公開徵稿
出版型式紙本
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