Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/3986
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dc.contributor.authorKarahisarlı, Gamzegül-
dc.contributor.authorMerdan, Hüseyin-
dc.contributor.authorTridane, Abdessamad-
dc.date.accessioned2021-01-22T06:22:28Z-
dc.date.available2021-01-22T06:22:28Z-
dc.date.issued2020
dc.identifier.citationKarahisarli, G., Merdan, H., & Tridane, A. (2020). Stability and zero-Hopf bifurcation analysis of a tumour and T-helper cells interaction model in the case of HIV infection. Miskolc Mathematical Notes, 21(2), 911-937.en_US
dc.identifier.issn1787-2405
dc.identifier.urihttp://hdl.handle.net/20.500.11851/3986-
dc.identifier.urihttps://doi.org/10.18514/MMN.2020.3412-
dc.description.abstractIn this paper, we present a mathematical model governing the dynamics of tumourimmune cells interaction under HIV infection. The interactions between tumour cells, helper T-cells, infected helper T-cells and virus cells are explained by using delay differential equations including two different discrete time delays. In the model, these time lags describe the time needed by the helper T-cells to find (or recognize) tumour cells and virus, respectively. First, we analyze the dynamics of the model without delays. We prove the positivity of the solution, analyze the local and global stabilities of the steady states of the model. Second, we study the effects of two discrete time delays on the stability of the endemically infected equilibrium point. We determine the conditions on parameters at which the system undergoes a zero-Hopf bifurcation. Choosing one of the delay terms as a bifurcation parameter and fixing the other, we show that a zero-Hopf bifurcation arises as the bifurcation parameter passes through a critical value. Finally, we perform numerical simulations to support and extend our theoretical results. The results concluded help to better understand the links between the immune system and the tumour development in the case of HIV infection.en_US
dc.language.isoenen_US
dc.publisherUniversity of Miskolcen_US
dc.relation.ispartofMiskolc Mathematical Notesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHIV infectionen_US
dc.subjecttumouren_US
dc.subjectT-helper cellsen_US
dc.subjectdelay differential equationen_US
dc.subjectstability analysisen_US
dc.subjectLyapunov functionen_US
dc.subjectzero-Hopf bifurcationen_US
dc.titleStability and zero-Hopf bifurcation analysis of a tumour and T-helper cells interaction model in the case of HIV infectionen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume21
dc.identifier.issue2
dc.identifier.startpage911
dc.identifier.endpage937
dc.identifier.wosWOS:000602739200027en_US
dc.identifier.scopus2-s2.0-85099975214en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.18514/MMN.2020.3412-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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