Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm

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dc.contributor.author Güven Kaya
dc.contributor.author Senol Kartal
dc.contributor.author Fuat Gurcan
dc.date.accessioned 2021-06-01T12:07:59Z
dc.date.available 2021-06-01T12:07:59Z
dc.date.issued 2020-06-01
dc.identifier.uri http://hdl.handle.net/20.500.11787/1958
dc.description.abstract In this paper, conformable fractional order differential equations with piecewise constant arguments are used for a modeling population density of a bacteria species in a microcosm. The discretization process of a differential equation with piecewise constant arguments gives us two dimensional discrete dynamical system in the interval t∈[n h,(n+ 1) h). By using the center manifold theorem and the bifurcation theory, it is shown that the discrete dynamical system undergoes flip and Neimark–Sacker bifurcation depending on the parameter r. It is observed that the model describes some biological phenomena for a bacteria population such as homogeneous bacteria distributions and inhomogeneous spatial population distributions. In addition, the effect of fractional order derivative on dynamic behavior of the system is investigated. Finally, all theoretical results are supported by numerical simulations tr_TR
dc.language.iso eng tr_TR
dc.publisher North-Holland tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Conformable fractional derivative tr_TR
dc.subject Piecewise constant arguments tr_TR
dc.subject Stability flip and neimark tr_TR
dc.subject Sacker bifurcation tr_TR
dc.title Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm tr_TR
dc.type article tr_TR
dc.relation.journal Physica A: Statistical Mechanics and its Applications 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.volume 547 tr_TR
dc.identifier.startpage 123864 tr_TR
dc.identifier.endpage 123864 tr_TR


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