Modelling and analysis of a phytoplankton–zooplankton system with continuous and discrete time

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dc.contributor.author Senol Kartal
dc.contributor.author Musa Kar
dc.contributor.author Neriman Kartal
dc.contributor.author Fuat Gurcan
dc.date.accessioned 2021-06-17T09:05:05Z
dc.date.available 2021-06-17T09:05:05Z
dc.date.issued 2016
dc.identifier.uri http://hdl.handle.net/20.500.11787/2649
dc.description.abstract In this study, a phytoplankton–zooplankton system has been modelled using a system of differential equations with piecewise constant arguments, which represents a new approach to modelling phytoplankton– zooplankton interaction. To analyse the dynamic behaviour of the model, we consider the solution of the system in a certain subinterval, which yields a system of difference equations. Some theoretical results on the boundedness character and local stability properties for the discrete dynamical system are obtained. In addition, we explain the biological dynamics of the bloom in the plankton model through Neimark–Sacker bifurcation and obtain the threshold values for different parameters that govern the periodic nature of the bloom. We conclude that, while other studies explained that the bloom depended on only one parameter, this study explains that the bloom depended on three different parameters, namely θ (rate of toxin production per phytoplankton), β (zooplankton growth efficiency) and K (environmental carrying capacity of phytoplankton). tr_TR
dc.language.iso eng tr_TR
dc.publisher TAYLOR & FRANCIS AS tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Plankton; difference equation; stability; Neimark–Sacker bifurcation tr_TR
dc.subject Plankton tr_TR
dc.subject Difference equation tr_TR
dc.subject Stability tr_TR
dc.subject Neimark–Sacker bifurcation tr_TR
dc.title Modelling and analysis of a phytoplankton–zooplankton system with continuous and discrete time tr_TR
dc.type article tr_TR
dc.relation.journal MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS tr_TR
dc.contributor.department Nevşehir Hacı Bektaş Veli Üniversitesi Eğitim Fakültesi Matematik ve Fen Bilimleri Eğitimi Bölümü tr_TR
dc.contributor.authorID 58387 tr_TR
dc.identifier.volume 22 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 539 tr_TR
dc.identifier.endpage 554 tr_TR


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