{"created":"2025-02-21T03:48:09.901055+00:00","id":2007312,"links":{},"metadata":{"_buckets":{"deposit":"80905010-d289-4297-8569-8ad56a564c1f"},"_deposit":{"created_by":41,"id":"2007312","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2007312"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02007312","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Seno, Hiromi","creatorNameLang":"en"}],"familyNames":[{"familyName":"Seno","familyNameLang":"en"}],"givenNames":[{"givenName":"Hiromi","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright(c) 2007 Taylor & Francis Ltd"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"Lotka-Volterra system","subitem_subject_scheme":"Other"},{"subitem_subject":"prey-predator model","subitem_subject_scheme":"Other"},{"subitem_subject":"dynamically consistent","subitem_subject_scheme":"Other"},{"subitem_subject":"neutrally stable","subitem_subject_scheme":"Other"},{"subitem_subject":"population dynamics","subitem_subject_scheme":"Other"},{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Leslie's method to construct a discrete two dimensional dynamical system dynamically consistent with the Lotka-Volterra type of competing two species ordinary differential equations is applied in a newly extended manner for the Lotka-Volterra prey-predator system which is structurally unstable. We show that, independently of the time step size, the derived discrete prey-predator system is dynamically consistent with the continuous counterpart, keeping the nature of neutrally stable periodic orbit. Further, we show that the extended method to construct the discrete prey-predator system can provide a dynamically consistent model also for the logistic Lotka-Volterra one.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Taylor & Francis Ltd"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"1023-6198","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA11085838","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"1155"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"12","bibliographicPageEnd":"1170","bibliographicPageStart":"1155","bibliographicVolumeNumber":"13","bibliographic_titles":[{"bibliographic_title":"Journal of Difference Equations and Applications"},{"bibliographic_title":"Journal of Difference Equations and Applications"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"This is an electronic version of an article published in Journal of Difference Equations And Applications Vol.13 Issue 12 pp.1155-1170, 2007. Journal of Difference Equations And Applications is available online at : http://journalsonline.tandf.co.uk/ with the open URL of your article."}]},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1080/10236190701464996","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1080/10236190701464996","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"JDEA_13_1155.pdf","filesize":[{"value":"1.3 MB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2007312/files/JDEA_13_1155.pdf"},"version_id":"a82632c7-d058-41cc-9d01-fc5d7e8ec825"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"21454"},"item_title":"A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2007312","relation_version_is_last":true,"title":["A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T09:40:06.741362+00:00"}