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A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages

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dc.contributor.author Dehingia, Kaushik
dc.contributor.author Hosseini, Kamyar
dc.contributor.author Salahshour, Soheil
dc.contributor.author Baleanu, D.
dc.date.accessioned 2024-02-09T11:40:13Z
dc.date.available 2024-02-09T11:40:13Z
dc.date.issued 2022-10
dc.identifier.citation Dehingia, Kaushik...et.al. (2022). "A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages", International Journal of Applied and Computational Mathematics, Vol.8, No.5 tr_TR
dc.identifier.issn 23495103
dc.identifier.uri http://hdl.handle.net/20.500.12416/7131
dc.description.abstract This paper investigates a tumor-macrophages interaction model with a discrete-time delay in the growth of pro-tumor M2 macrophages. The steady-state analysis of the governing model is performed around the tumor dominant steady-state and the interior steady-state. It is found that the tumor dominant steady-state is locally asymptotically stable under certain conditions, and the stability of the interior steady-state is affected by the discrete-time delay; as a result, the unstable system experiences a Hopf bifurcation and gets stabilized. Furthermore, the transversality conditions for the existence of Hopf bifurcations are derived. Several graphical representations in two and three-dimensional postures are given to examine the validity of the results provided in the current study. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s40819-022-01433-y tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Discrete-Time Delay tr_TR
dc.subject Hopf Bifurcation tr_TR
dc.subject Numerical Resolution tr_TR
dc.subject Steady-State Analysis tr_TR
dc.subject Tumor-Macrophages İnteraction tr_TR
dc.title A Detailed Study on a Tumor Model with Delayed Growth of Pro-Tumor Macrophages tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Applied and Computational Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 5 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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