The sign of traveling wave speed in bistable dynamics

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/118640

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/118640

Title:	The sign of traveling wave speed in bistable dynamics
Authors:	Guo, Jong-Shenq;Nakamura, Ken-Ichi;Ogiwara, Toshiko;Wu, Chang-Hong
Keywords:	bistable;competition model;traveling wave;wave speed;uniqueness
Date:	2020-06
Issue Date:	2020-06-01 12:10:44 (UTC+8)
Abstract:	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.
Relation:	Discrete and Continuous Dynamical Systems 40(6), p.3451-3466
DOI:	10.3934/dcds.2020047
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	121	View/Open
The sign of traveling wave speed in bistable dynamics.pdf		332Kb	Adobe PDF	3	View/Open