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
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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
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99679 )

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