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dc.contributor.authorGuo, Jong-Shenqen_US
dc.contributor.authorNakamura, Ken-Ichien_US
dc.contributor.authorOgiwara, Toshikoen_US
dc.contributor.authorWu, Chang-Hongen_US
dc.date.accessioned2020-05-05T00:01:27Z-
dc.date.available2020-05-05T00:01:27Z-
dc.date.issued2020-06-01en_US
dc.identifier.issn1078-0947en_US
dc.identifier.urihttp://dx.doi.org/10.3934/dcds.2020047en_US
dc.identifier.urihttp://hdl.handle.net/11536/153885-
dc.description.abstractWe 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.en_US
dc.language.isoen_USen_US
dc.subjectBistableen_US
dc.subjectcompetition modelen_US
dc.subjecttraveling waveen_US
dc.subjectwave speeden_US
dc.subjectuniquenessen_US
dc.titleTHE SIGN OF TRAVELING WAVE SPEED IN BISTABLE DYNAMICSen_US
dc.typeArticleen_US
dc.identifier.doi10.3934/dcds.2020047en_US
dc.identifier.journalDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMSen_US
dc.citation.volume40en_US
dc.citation.issue6en_US
dc.citation.spage3451en_US
dc.citation.epage3466en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000519540200021en_US
dc.citation.woscount0en_US
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