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Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand
Joint Authors
Hachuła, Piotr
Nockowska-Rosiak, Magdalena
Schmeidel, Ewa
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An 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.
American Psychological Association (APA)
Hachuła, Piotr& Nockowska-Rosiak, Magdalena& Schmeidel, Ewa. 2017. Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151774
Modern Language Association (MLA)
Hachuła, Piotr…[et al.]. Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1151774
American Medical Association (AMA)
Hachuła, Piotr& Nockowska-Rosiak, Magdalena& Schmeidel, Ewa. Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151774