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 en
收錄於
會議性質 國際
校內研討會地點 無
研討會時間 20141105~20141107
通訊作者
國別 JPN
公開徵稿
出版型式
出處 Nonlinearity 28, pp.1-27
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/107198 )