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
國別 GBR
公開徵稿
出版型式 紙本 電子版
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