Propagation and blocking in periodically hostile environments | |
---|---|
學年 | 100 |
學期 | 2 |
發表日期 | 2012-02-16 |
作品名稱 | Propagation and blocking in periodically hostile environments |
作品名稱(其他語言) | |
著者 | Guo, Jong-Shenq |
作品所屬單位 | 淡江大學數學學系 |
出版者 | |
會議名稱 | NTU-Inha 2012 Bilateral Conference on Analysis and Scientific Computing |
會議地點 | 台北市, 台灣 |
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. Then we provide a simple geometric condition for the blocking of propagation and we derive the asymptotic behavior of the approximated pulsating traveling 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 |
收錄於 | |
會議性質 | |
校內研討會地點 | |
研討會時間 | 20120216~20120217 |
通訊作者 | |
國別 | TWN |
公開徵稿 | |
出版型式 | |
出處 | |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99679 ) |