Mathematical analysis of local and global dynamics of a new epidemic model

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dc.authorscopusid55372341800
dc.contributor.authorÇakan S.
dc.date.accessioned2024-08-04T20:00:53Z
dc.date.available2024-08-04T20:00:53Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we construct a new SEIR epidemic model reflecting the spread of infectious diseases. After calculating basic reproduction number R0 by the next generation matrix method, we examine the stability of the model. The model exhibits threshold behavior according to whether the basic reproduction number R0 is greater than unity or not. By using well-known Routh-Hurwitz criteria, we deal with local asymptotic stability of equilibrium points of the model according to R0. Also, we present a mathematical analysis for the global dynamics in the equilibrium points of this model using LaSalle’s Invariance Principle associated with Lyapunov functional technique and Li-Muldowney geometric approach, respectively. © This work is licensed under a Creative Commons Attribution 4.0 International License.en_US
dc.identifier.doi10.3906/mat-MAT-2107-41
dc.identifier.endpage551en_US
dc.identifier.issn1300-0098
dc.identifier.issueSpecial Issueen_US
dc.identifier.scopus2-s2.0-85125545559en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage533en_US
dc.identifier.urihttps://doi.org/10.3906/mat-MAT-2107-41
dc.identifier.urihttps://hdl.handle.net/11616/91063
dc.identifier.volume46en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTUBITAKen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBasic reproduction numberen_US
dc.subjectJacobian matrixen_US
dc.subjectLasalle’s invariance principleen_US
dc.subjectLi-muldowney geometric approachen_US
dc.subjectLyapunov functionen_US
dc.subjectNext generation matrix methoden_US
dc.subjectRouth-hurwitz criteriaen_US
dc.subjectThe second additive compound matrixen_US
dc.titleMathematical analysis of local and global dynamics of a new epidemic modelen_US
dc.typeArticleen_US

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