期刊論文
| 學年 | 100 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2012-06-01 |
| 作品名稱 | Propagation and blocking in periodically hostile environments |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-shenq; Hamel, Francois |
| 單位 | 淡江大學數學學系 |
| 出版者 | Heidelberg: Springer |
| 著錄名稱、卷期、頁數 | Archive for Rational Mechanics and Analysis 204(3), pp.945-975 |
| 摘要 | We study the persistence and propagation (or blocking) phenomena for a species in periodically hostile environments. The problem is described by a reaction-diffusion equation with zero Dirichlet boundary condition. We first derive the existence of a minimal nonnegative nontrivial stationary solution and study the large-time behavior of the solution of the initial boundary value problem. To the main goal, we then study a sequence of approximated problems in the whole space with reaction terms which are with very negative growth rates outside the domain under investigation. Finally, for a given unit vector, by using the information of the minimal speeds of approximated problems, we provide a simple geometric condition for the blocking of propagation and we derive the asymptotic behavior of the approximated pulsating travelling fronts. Moreover, for the case of constant diffusion matrix, we provide two conditions for which the limit of approximated minimal speeds is positive. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0003-9527 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | DEU |
| 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/987654321/76897 ) |