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

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dc.authoridÇAKAN, Sümeyye/0000-0001-8761-8564
dc.authorwosidÇAKAN, Sümeyye/ABH-4275-2020
dc.contributor.authorCakan, Sumeyye
dc.date.accessioned2024-08-04T20:10:12Z
dc.date.available2024-08-04T20:10:12Z
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 R-0 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 R-0 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 R-0. 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.en_US
dc.identifier.doi10.3906/mat-2107-41
dc.identifier.endpage551en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.scopus2-s2.0-85131922630en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage533en_US
dc.identifier.trdizinid534642en_US
dc.identifier.urihttps://doi.org/10.3906/mat-2107-41
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/534642
dc.identifier.urihttps://hdl.handle.net/11616/92654
dc.identifier.volume46en_US
dc.identifier.wosWOS:000715511400001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLyapunov functionen_US
dc.subjectLaSalle's invariance principleen_US
dc.subjectthe second additive compound matrixen_US
dc.subjectLi-Muldowney geometric approachen_US
dc.subjectnext generation matrix methoden_US
dc.subjectbasic reproduction numberen_US
dc.subjectJacobian matrixen_US
dc.subjectRouth-Hurwitz criteriaen_US
dc.titleMathematical analysis of local and global dynamics of a new epidemic modelen_US
dc.typeArticleen_US

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