STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL

Chuan Le Huy; Yagi, Atsushi; Tsujikawa, Tohru

doi:info:doi/10.1017/S0017089508004485

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タイトル	STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
著者	Chuan Le Huy Chuan Le Huy
	Yagi, Atsushi Yagi, Atsushi
	Tsujikawa, Tohru Tsujikawa, Tohru
抄録	We continue the study of a mathematical model for a forest ecosystem which has been presented by Y. A. Kuznetsov, M. Y. Antonovsky, V. N. Biktashev and A. Aponina (A cross-diffusion model of forest boundary dynamics, J. Math. Biol. 32 (1994), 219–232). In the preceding two papers (L. H. Chuan and A. Yagi, Dynamical systemfor forest kinematic model, Adv. Math. Sci. Appl. 16 (2006), 393–409; L. H. Chuan,T.Tsujikawa andA.Yagi,Aysmptotic behavior of solutions for forest kinematic model, Funkcial. Ekvac. 49 (2006), 427–449), the present authors already constructed a dynamical system and investigated asymptotic behaviour of trajectories of the dynamical system. This paper is then devoted to studying not only the structure (including stability and instability) of homogeneous stationary solutions but also the existence of inhomogeneous stationary solutions. Especially it shall be shown that in some cases, one can construct an infinite number of discontinuous stationary solutions.
公開者	Oliver and Boyd
掲載誌名	Glasgow Mathematical Journal
巻	51
号	1
開始ページ	1
終了ページ	17
刊行年月	2009-01
ISSN	00170895
NCID	AA00658783
DOI (出版社版)	info:doi/10.1017/S0017089508004485
URL	http://hdl.handle.net/11094/24744
権利情報	©2008 Glasgow Mathematical Journal Trust.
言語	英語
カテゴリ	学術雑誌論文 Journal Article

著者版フラグ	publisher
NII資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Glasgow Mathematical Journal.51(1) P.1-P.17
DC.title	STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
DC.creator	Chuan Le Huy
	Yagi, Atsushi
	Tsujikawa, Tohru
DC.publisher	Oliver and Boyd
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2009-01
DC.identifier	info:doi/10.1017/S0017089508004485
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/24744
DCTERMS.abstract	We continue the study of a mathematical model for a forest ecosystem which has been presented by Y. A. Kuznetsov, M. Y. Antonovsky, V. N. Biktashev and A. Aponina (A cross-diffusion model of forest boundary dynamics, J. Math. Biol. 32 (1994), 219–232). In the preceding two papers (L. H. Chuan and A. Yagi, Dynamical systemfor forest kinematic model, Adv. Math. Sci. Appl. 16 (2006), 393–409; L. H. Chuan,T.Tsujikawa andA.Yagi,Aysmptotic behavior of solutions for forest kinematic model, Funkcial. Ekvac. 49 (2006), 427–449), the present authors already constructed a dynamical system and investigated asymptotic behaviour of trajectories of the dynamical system. This paper is then devoted to studying not only the structure (including stability and instability) of homogeneous stationary solutions but also the existence of inhomogeneous stationary solutions. Especially it shall be shown that in some cases, one can construct an infinite number of discontinuous stationary solutions.
DC.rights	©2008 Glasgow Mathematical Journal Trust.
citation_title	STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
citation_author	Chuan Le Huy
	Yagi, Atsushi
	Tsujikawa, Tohru
citation_publisher	Oliver and Boyd
citation_language	英語
citation_date	2009-01
citation_journal_title	Glasgow Mathematical Journal
citation_volume	51
citation_issue	1
citation_firstpage	1
citation_lastpage	17
citation_issn	00170895
citation_doi	info:doi/10.1017/S0017089508004485
citation_public_url	http://hdl.handle.net/11094/24744

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