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dc.contributor.authorBuedo Fernández, Sebastián
dc.contributor.authorLiz Marzán, Eduardo
dc.date.accessioned2018-12-27T10:24:43Z
dc.date.available2018-12-27T10:24:43Z
dc.date.issued2018-06-26
dc.identifier.citationBuedo-Fernández, S., & Liz, E. (2018). On the stability properties of a delay differential neoclassical model of economic growth. Electronic Journal Of Qualitative Theory Of Differential Equations, (43), 1-14. doi: 10.14232/ejqtde.2018.1.43
dc.identifier.urihttp://hdl.handle.net/10347/18022
dc.description.abstractThe main aim of this paper is to establish sharp global stability conditions for the positive equilibrium of a well-known model of economic growth when a delay is considered in the production function. In order to deal with a broad scenario, we establish some results of global attraction for a general family of differential equations with variable delay; for it, we use the notion of strong attractor, which allows us to simplify the proofs, as well as to generalize previous results. Our study reveals that sometimes production delays are not able to destabilize the positive equilibrium, even if they are large. In other cases, the stability properties of the equilibrium depend on the interaction between the delay and other relevant model parameters, leading sometimes to stability windows in the bifurcation diagram
dc.description.sponsorshipThe research of Sebastián Buedo-Fernández has been partially supported by Ministerio de Educación, Cultura y Deporte of Spain (grant FPU16/04416), Xunta de Galicia and European Community fund FEDER (grants ED481A-2017/030, GRC2015/004, R2016/022), and AEI of Spain (grant MTM2016-75140-P). Eduardo Liz acknowledges the support of the research grant MTM2017–85054–C2–1–P (AEI/FEDER, UE)
dc.language.isoeng
dc.publisherUniversity of Szeged
dc.relationinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.rights© 2018 by the authors. Published by The Electronic Journal of Qualitative Theory of Differential Equations. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectDelay differential equation
dc.subjectNeoclassical growth model
dc.subjectGlobal stability
dc.subjectStability switches
dc.subjectLasota equation
dc.subjectGamma-Ricker map
dc.titleOn the stability properties of a delay differential neoclassical model of economic growth
dc.typeinfo:eu-repo/semantics/article
dc.identifier.DOI10.14232/ejqtde.2018.1.43
dc.relation.publisherversionhttps://doi.org/10.14232/ejqtde.2018.1.43
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.e-issn1417-3875
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.description.peerreviewedSI


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© 2018 by the authors. Published by The Electronic Journal of Qualitative Theory of Differential Equations. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
Except where otherwise noted, this item's license is described as  © 2018 by the authors. Published by The Electronic Journal of Qualitative Theory of Differential Equations. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)





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