教師資料查詢 | 類別: 會議論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題:Dynamics for a two-species competition-diffusion model with two free boundaries
學年103
學期1
發表日期2014/11/05
作品名稱Dynamics for a two-species competition-diffusion model with two free boundaries
作品名稱(其他語言)
著者Jong-Shenq Guo; Chang-Hong Wu
作品所屬單位
出版者
會議名稱RIMS Workshop on Shapes and other Properties of the Solutions of PDEs
會議地點RIMS, Kyoto University, Kyoto, Japan
摘要To understand the spreading and interaction of two-competing species, we study the dynamics for a two-species competition–diffusion model with two free boundaries. Here, the two free boundaries which describe the spreading fronts of two competing species, respectively, may intersect each other. Our result shows there exists a critical value such that the superior competitor always spreads successfully if its territory size is above this constant at some time. Otherwise, the superior competitor can be wiped out by the inferior competitor. Moreover, if the inferior competitor does not spread fast enough such that the superior competitor can catch up with it, the inferior competitor will be wiped out eventually and then a spreading–vanishing trichotomy is established. We also provide some characterization of the spreading–vanishing trichotomy via some parameters of the model. On the other hand, when the superior competitor spreads successfully but with a sufficiently low speed, the inferior competitor can also spread successfully even the superior species is much stronger than the weaker one. It means that the inferior competitor can survive if the superior species cannot catch up with it.
關鍵字competition–diffusion model;free boundary problem;spreading– vanishing trichotomy;population dynamics
語言英文
收錄於
會議性質國際
校內研討會地點
研討會時間20141105~20141107
通訊作者
國別日本
公開徵稿
出版型式
出處Nonlinearity 28, pp.1-27
相關連結
Google+ 推薦功能,讓全世界都能看到您的推薦!