NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE

Yu, Zhi-Xian; Yuan, Rong

doi:https://doi.org/10.18910/26819

このアイテムのアクセス数:111件（2023-09-26 11:05 集計）

このアイテムへのリンクには次のURLをご利用ください: https://doi.org/10.18910/26819

このアイテムへのリンクには次のURLをご利用ください: https://hdl.handle.net/11094/26819

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タイトル	NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE
著者	著者名 Yu, Zhi-Xian
著者	著者名 Yuan, Rong
抄録	In this paper, we study the nonlinear stability of wavefronts in a delayed stage-structured population model on a 2-D spatial lattice. For all wavefronts with the speed c>max{c(η0),c_∗(θ)}, where η0 is some positive constant, c_∗(θ)>0 is the critical wave speed and θ is the direction of propagation, we prove that these wavefronts are asymptotically stable, when the initial perturbation around the wavefronts decays exponentially as icosθ+jsinθ→−∞, but it can be arbitrary large in other locations. This essentially improves the previous work with more strongly restricted wave speed and the small initial perturbation. Our approach adopted in this paper is the weighted energy method and the squeezing technique.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(4)
ページ	963-976
刊行年月	2013-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26819
DOI	https://doi.org/10.18910/26819
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 4　(2013-12）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(4), p. 963-976
DC.title	NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE
DC.creator	Yu, Zhi-Xian
DC.creator	Yuan, Rong
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-12
DCTERMS.abstract	In this paper, we study the nonlinear stability of wavefronts in a delayed stage-structured population model on a 2-D spatial lattice. For all wavefronts with the speed c>max{c(η0),c_∗(θ)}, where η0 is some positive constant, c_∗(θ)>0 is the critical wave speed and θ is the direction of propagation, we prove that these wavefronts are asymptotically stable, when the initial perturbation around the wavefronts decays exponentially as icosθ+jsinθ→−∞, but it can be arbitrary large in other locations. This essentially improves the previous work with more strongly restricted wave speed and the small initial perturbation. Our approach adopted in this paper is the weighted energy method and the squeezing technique.
DC.identifier	10.18910/26819
DC.format	application/pdf
citation_doi	https://doi.org/10.18910/26819
citation_title	NONLINEAR STABILITY OF WAVEFRONTS FOR A DELAYED STAGE-STRUCTURED POPULATION MODEL ON A 2-D LATTICE
citation_author	Yu, Zhi-Xian
citation_author	Yuan, Rong
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	4
citation_firstpage	963
citation_lastpage	976
citation_public_url	https://hdl.handle.net/11094/26819
citation_doi_detail	10.18910/26819

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