期刊論文
| 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 | en |
| ISSN | 0022-0396 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/76895 ) |