Wave propagation for a two-component lattice dynamical system arising in strong competition models
學年 99
學期 2
出版（發表）日期 2011-04-01
作品名稱 Wave propagation for a two-component lattice dynamical system arising in strong 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 250(8), pp.3504-3533
摘要 We study a Lotka–Volterra type competition system with bistable nonlinearity in which the habitat is divided into discrete niches. We show that there exist non-monotone stationary solutions when the migration coefficients are sufficiently small. Also, we prove that the propagation failure phenomenon occurs. Finally, we focus on the traveling wave with nonzero wave speed. By investigating the asymptotic behavior of tails of wave profiles, we show that nonzero speed wave profiles are monotone. Moreover, the nonzero wave speed is unique in the sense that the wave cannot propagate with two different nonzero wave speeds.
關鍵字 Lattice dynamical system; Stationary solution; Propagation failure; Traveling wave; Wave speed
語言 en
ISSN 0022-0396
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Guo, Jong-Shenq
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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