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  2. 400　数理解析研究所
  3. 2.講究録別冊
  4. B94 Mathematical structures of integrable systems, their developments and applications
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dc.contributor.authorTANAKA, Yutaen
dc.contributor.authorMARUNO, Ken-ichien
dc.contributor.alternative丸野, 健一ja
dc.date.accessioned2024-02-01T01:10:59Z-
dc.date.available2024-02-01T01:10:59Z-
dc.date.issued2023-11-
dc.identifier.urihttp://hdl.handle.net/2433/286844-
dc.description.abstractStructure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model.en
dc.language.isoeng-
dc.publisherResearch Institute for Mathematical Sciences, Kyoto Universityen
dc.publisher.alternative京都大学数理解析研究所ja
dc.rights© 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan.en
dc.subject39A36en
dc.subject37M15en
dc.subject34A05en
dc.subjectSIR modelen
dc.subjectintegrable discretizationsen
dc.subjectexact solutionsen
dc.subjectconserved quantitiesen
dc.subjecthodograph transformationen
dc.subjectultradiscretizationen
dc.subject.ndc410-
dc.titleIntegrable discretizations of the SIR model (Mathematical structures of integrable systems, their developments and applications)en
dc.typedepartmental bulletin paper-
dc.type.niitypeDepartmental Bulletin Paper-
dc.identifier.ncidAA12196120-
dc.identifier.jtitle数理解析研究所講究録別冊ja
dc.identifier.volumeB94-
dc.identifier.spage85-
dc.identifier.epage115-
dc.textversionpublisher-
dc.sortkey06-
dc.addressDepartment of Pure and Applied Mathematics, School of Fundamental Science and Engineering, Waseda Universityen
dc.addressDepartment of Applied Mathematics, Faculty of Science and Engineering, Waseda Universityen
dcterms.accessRightsopen access-
datacite.awardNumber18K03435-
datacite.awardNumber22K03441-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03435/-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K03441/-
dc.identifier.pissn1881-6193-
dc.identifier.jtitle-alternativeRIMS Kôkyûroku Bessatsuen
jpcoar.funderName日本学術振興会ja
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitle可積分系の離散的方法を基盤とした非線形波動解析のための計算アルゴリズムの開発ja
jpcoar.awardTitle可積分系理論を基盤とした革新的な数理技術の開発・深化と応用ja
出現コレクション:B94 Mathematical structures of integrable systems, their developments and applications

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