標題: THE SIGN OF TRAVELING WAVE SPEED IN BISTABLE DYNAMICS
作者: Guo, Jong-Shenq
Nakamura, Ken-Ichi
Ogiwara, Toshiko
Wu, Chang-Hong
應用數學系
Department of Applied Mathematics
關鍵字: Bistable;competition model;traveling wave;wave speed;uniqueness
公開日期: 1-六月-2020
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.
URI: http://dx.doi.org/10.3934/dcds.2020047
http://hdl.handle.net/11536/153885
ISSN: 1078-0947
DOI: 10.3934/dcds.2020047
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume: 40
Issue: 6
起始頁: 3451
結束頁: 3466
顯示於類別:期刊論文