Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/97314
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dc.contributor吳菁菁zh_TW
dc.contributorChin-Chin Wuen_US
dc.contributor.author樂直韋zh_TW
dc.contributor.authorZhi-Wei Yueen_US
dc.contributor.other應用數學系所zh_TW
dc.date2018zh_TW
dc.date.accessioned2019-02-01T05:32:34Z-
dc.identifier.citation[1] J.-S. Guo, C.-H. Wu, Wave propagation for a two-component lattice dynamical system arising in strong competition models, J. Differential Equations 250 (2011) 3504-3533 [2] J.-S. Guo, C.-C. Wu, The existence of traveling wave solutions for a bistable three-component lattice dynamical system, J. Differential Equations 260 (2016) 1445-1455 [3] X. Chen, S.-C. Fu, J.-S. Guo, Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices, SIAM J. Math. Anal. 38 (2006) 233-258 [4] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynamical system arising in competition models, J. Differential Equations 252 (2012) 4357-4391 [5] X. Chen, J.-S. Guo, Uniqueness and existence of traveling waves for discrete quasilinear monos- table dynamics, Math. Ann. 326 (2003) 123-146zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/97314-
dc.description.abstract這篇論文是在講如何證明三個物種的離散型動態系統的旅行波解之單調性。 我們用滑行法來證明旅行波解有單調性。 首先,我們先證明旅行波解在左右兩端具有單調性。之後藉由強比較原則,可以幫助我們證明整個旅行波解都有單調性。 旅行波解的單調性可以幫助我們知道,哪一個物種會滅絕,而哪一個物種最終又會存活。zh_TW
dc.description.abstractWe study the monotonicity of the traveling wave solutions for a three-component lattice dynamical system. We use the sliding method to prove the monotonicity. We would prove the solutions are monotone on the tail, and then use the strong comparison principle to help us extend the monotonicity to all of the solution. The monotonicity of the traveling wave solutions will help us to know that which species will extinct and which will survive eventually.en_US
dc.description.tableofcontentsContents 摘要 i Abstract ii 1. Introduction 1 2. Prove the monotonicity on the tail 4 3. Strong comparison principle 31 4. Proof of monotonicity 34 References 37zh_TW
dc.language.isoen_USzh_TW
dc.rights同意授權瀏覽/列印電子全文服務,2018-02-07起公開。zh_TW
dc.subject單調性zh_TW
dc.subject旅行波解zh_TW
dc.subject滑行法zh_TW
dc.subject強比較原則zh_TW
dc.subjectmonotonicityen_US
dc.subjecttraveling waveen_US
dc.subjectsliding methoden_US
dc.subjectStrong comparison principleen_US
dc.title三個物種的離散型動態系統的旅行波解之單調性zh_TW
dc.titleThe monotonicity of traveling wave solutions for a three-component lattice dynamical systemen_US
dc.typethesis and dissertationen_US
dc.date.paperformatopenaccess2019-02-07zh_TW
dc.date.openaccess2018-02-07-
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item.languageiso639-1en_US-
item.openairetypethesis and dissertation-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextrestricted-
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