期刊論文
| 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 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58128 ) |