On matched pair Hamiltonian analysis of the compartmental models

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dc.authorid0000-0001-8754-6927
dc.authorid0000-0002-6766-0287
dc.authorid0000-0003-0925-8668
dc.contributor.authorAteşli, Begümen_US
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.contributor.editorYıldırım, Kenanen_US
dc.date.accessioned2026-03-10T10:50:18Z
dc.date.available2026-03-10T10:50:18Z
dc.date.issued2020-10-30
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionWe acknowledge the support by TÜBİTAK under the project “Matched Pairs of Lagrangian and Hamiltonian Systems” with the project number 117F426.en_US
dc.description.abstractEpidemiological compartmental models predict the spread of an infectious disease that a specific population encounter. The population is divided into compartments representing different stages of the epidemic and the change of these compartments in time is given by nonlinear differential equations. In previous studies, the Hamiltonian analysis of these models is included. In this work, we briefly explain SIR, SEIR, 2-SIR and 2-SEIR models, and their Hamiltonian analysis. We recollect the matched pair Lie-Poisson systems and observe that SIR and SEIR models can be written as matched pair Lie-Poisson systems. We generalize the matched pair Lie-Poisson systems using the twisted cocycle extension. We attain that matched pair Lie-Poisson systems obtained by the twisted cocycle extension is convenient for 2-SIR and 2-SEIR models.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAteşli, B., Esen, O. & Sütlü, S. (2020). On matched pair Hamiltonian analysis of the compartmental models. Paper presented at the 4th International Conference on Mathematics, 129-129.en_US
dc.identifier.endpage129
dc.identifier.isbn9786056796463
dc.identifier.startpage129
dc.identifier.urihttps://hdl.handle.net/11729/7118
dc.identifier.urihttps://icomath.com/index.php?target=sayfalar&id=18#primary
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherMarmara Üniversitesien_US
dc.relation.ispartof4th International Conference on Mathematicsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleOn matched pair Hamiltonian analysis of the compartmental modelsen_US
dc.typeConference Objecten_US
dspace.entity.typePublicationen_US

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