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dc.contributor.authorHachuła, Piotr
dc.contributor.authorNockowska-Rosiak, Magdalena
dc.contributor.authorSchmeidel, Ewa
dc.date.accessioned2018-10-30T21:34:26Z
dc.date.available2018-10-30T21:34:26Z
dc.date.issued2017-01-01
dc.identifier.citationPiotr Hachuła, Magdalena Nockowska-Rosiak, and Ewa Schmeidel, “Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand,” Discrete Dynamics in Nature and Society, vol. 2017, Article ID 8162865, 10 pages, 2017. https://doi.org/10.1155/2017/8162865en
dc.identifier.issn1607-887X
dc.identifier.urihttps://depot.ceon.pl/handle/123456789/16026
dc.description.abstractAn analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered. By reducing the model to the planar system with five parameters, an analysis of one-parameter bifurcation of equilibrium points is presented. By the analytical method, we prove that nondegeneracy conditions for the existence of Neimark-Sacker bifurcation for the planar system are fulfilled. To check the sign of the first Lyapunov coefficient of Neimark-Sacker bifurcation, we use numerical simulations. We give phase portraits of the planar system to confirm the previous analytical results and show new interesting complex dynamical behaviours emerging in it. Finally, the economical interpretation of the system is given.en
dc.language.isoen
dc.publisherHindawi Limiteden
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/*
dc.subjectzapasypl
dc.subjectzarządzanie zapasamipl
dc.subjectmodelowaniepl
dc.subjectstocken
dc.subjectinventoryen
dc.subjectinventory managementen
dc.subjectmodellingen
dc.titleNeimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demanden
dc.typearticleen
dc.contributor.organizationInstytut Logistyki i Magazynowaniaen
dc.contributor.organizationPolitechnika Łódzkaen
dc.contributor.organizationUniwersytet w Białymstokuen


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Uznanie autorstwa 3.0 Polska
Except where otherwise noted, this item's license is described as Uznanie autorstwa 3.0 Polska