| Quenching behaviour for a singular predator–prey model | |
|---|---|
| 學年 | 100 |
| 學期 | 2 |
| 出版（發表）日期 | 2012-07-01 |
| 作品名稱 | Quenching behaviour for a singular predator–prey model |
| 作品名稱（其他語言） | |
| 著者 | Ducrot, Arnaud; Guo, Jong-Shenq |
| 單位 | 淡江大學數學學系 |
| 出版者 | Bristol: Institute of Physics Publishing Ltd. |
| 著錄名稱、卷期、頁數 | Nonlinearity 25(7), pp.2059–2073 |
| 摘要 | In this paper, we study the quenching behaviour for a system of two reaction–diffusion equations arising in the modelling of the spatio-temporal interaction of prey and predator populations in fragile environment. We first provide some sufficient conditions on the initial data to have finite time quenching. Then we classify the initial data to distinguish type I quenching and type II quenching, by introducing a delicate energy functional along with the help of some a priori estimates. Finally, we present some results on the quenching set. It can be a singleton, the whole domain, or a compact subset of the domain. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0951-7715; 1361-6544 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/78503 ) |
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