Discretization of a mathematical model for tumor-ımmune system ınteraction with piecewise constant arguments

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dc.contributor.author Senol Kartal
dc.contributor.author Fuat Gurcan
dc.date.accessioned 2021-06-01T12:12:36Z
dc.date.available 2021-06-01T12:12:36Z
dc.date.issued 2014
dc.identifier.uri http://hdl.handle.net/20.500.11787/1960
dc.description.abstract The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor and immune cells. The model consists of differential equations with piecewise constant arguments and based on metamodel constructed by Stepanova. Using the method of reduction to discrete equations, it is obtained a system of difference equations from the system of differential equations. In order to get local and global stability conditions of the positive equilibrium point of the system, we use Schur-Cohn criterion and Lyapunov function that is constructed. Moreover, it is shown that periodic solutions occur as a consequence of Neimark-Sacker bifurcation. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Piecewise constant arguments tr_TR
dc.subject Difference equation tr_TR
dc.subject Stability tr_TR
dc.subject Bifurcation tr_TR
dc.title Discretization of a mathematical model for tumor-ımmune system ınteraction with piecewise constant arguments tr_TR
dc.type article tr_TR
dc.relation.journal Applied Mathematics and Sciences: An International Journal tr_TR
dc.contributor.department Nevşehir Hacı Bektaş Veli Üniversitesi/eğitim fakültesi/matematik ve fen bilimleri eğitimi bölümü/matematik eğitimi anabilim dalı tr_TR
dc.contributor.authorID 48727 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 57 tr_TR
dc.identifier.endpage 65 tr_TR


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