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GLOBAL STABILITY IN A PATHOGEN-SPECIFIC CD8 IMMUNE RESPONSE PREDICTION MODEL

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Özet

In this study, a system of ordinary differential equations used for modeling pathogen-specific CD8 cell immune response is studied. The positivity and the limitation of the model solutions are proven. The equilibrium points in the cases with the presence and the absence of the pathogen are determined and their stabilities are investigated. Furthermore, the essential reproduction number is obtained for the system. The conditions of the reproduction number for the stability of the equilibrium are shown and numerical examples are given for supporting the analytical results.

Anahtar Kelimeler

CD8 T-Cell immunity responseequilibriumglobal stabilitylocal stabilitypersistence
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAnaç, Halil
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorBeki̇Ryazici, Zafer
dc.date.accessioned2026-10-22T10:23:49.514700994Z
dc.date.available2026-10-22T10:23:49.514700994Z
dc.date.issued2019
dc.description.abstractIn this study, a system of ordinary differential equations used for modeling pathogen-specific CD8 cell immune response is studied. The positivity and the limitation of the model solutions are proven. The equilibrium points in the cases with the presence and the absence of the pathogen are determined and their stabilities are investigated. Furthermore, the essential reproduction number is obtained for the system. The conditions of the reproduction number for the stability of the equilibrium are shown and numerical examples are given for supporting the analytical results.
dc.description.sponsorshipGümüşhane Üniversitesi, GÜ, (17, F5121.02.01)
dc.description.sponsorshipGümüşhane Üniversitesi, GÜ
dc.identifier.eissn1304-7191
dc.identifier.endpage342
dc.identifier.issn1304-7191
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85149969742
dc.identifier.startpage325
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15293
dc.identifier.volume10
dc.identifier.wosWOS:000522760300008
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCD8 T-Cell immunity response
dc.subjectequilibrium
dc.subjectglobal stability
dc.subjectlocal stability
dc.subjectpersistence
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationEngineering
dc.subject.otherINFECTION
dc.titleGLOBAL STABILITY IN A PATHOGEN-SPECIFIC CD8 IMMUNE RESPONSE PREDICTION MODEL
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos3
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)