The sign of traveling wave speed in bistable dynamics
學年 108
學期 2
出版(發表)日期 2020-06-01
作品名稱 The sign of traveling wave speed in bistable dynamics
著者 Jong-Shenq Guo; Ken-Ichi Nakamura; Toshiko Ogiwara; Chang-Hong Wu
著錄名稱、卷期、頁數 Discrete and Continuous Dynamical Systems 40(6), p.3451-3466
摘要 We are concerned with the sign of traveling wave speed in bistable dynamics. This question is related to which species wins the competition in multiple species competition models. It is well-known that the wave speed is unique for traveling wave connecting two stable states. In this paper, we first review some known results on the sign of wave speed in bistable two species competition models. Then we derive rigorously the sign of bistable wave speed for a special three species competition model describing the competition in two different circumstances: (1) two species are weak competitors and one species is a strong competitor; (2) three species are very strong competitors. It is interesting to observe that, under certain conditions on the parameters, two weaker competitors can wipe out the strongest competitor.
關鍵字 bistable;competition model;traveling wave;wave speed;uniqueness
語言 en_US
期刊性質 國外
收錄於 SCI
通訊作者 Jong-Shenq Guo
國別 USA
出版型式 ,電子版,紙本

機構典藏連結 ( )