A new formula to get sharp global stability criteria for one-dimensional discrete-time models

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorLiz Marzán, Eduardo
dc.contributor.authorBuedo Fernández, Sebastián
dc.date.accessioned2019-07-10T08:46:19Z
dc.date.available2020-01-10T02:00:10Z
dc.date.issued2019-01-10
dc.descriptionThis is a post-peer-review, pre-copyedit version of an article published in Qualitative Theory of Dynamical Systems. The final authenticated version is available online at: https://doi.org/10.1007/s12346-018-00314-4gl
dc.description.abstractWe present a new formula that makes it possible to get sharp global stability results for one-dimensional discrete-time models in an easy way. In particular, it allows to show that the local asymptotic stability of a positive equilibrium implies its global asymptotic stability for a new family of difference equations that finds many applications in population dynamics, economic models, and also in physiological processes governed by delay differential equations. The main ingredients to prove our results are the Schwarzian derivative and some dominance argumentsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe research of Sebastián Buedo-Fernández has been partially supported by Ministerio de Educación, Cultura y Deporte of Spain (Grant No. FPU16/04416), Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia (Grant Nos. GRC2015/004 and R2016/022), and Agencia Estatal de Investigación of Spain (Grant MTM2016-75140-P, cofunded by European Community fund FEDER)gl
dc.identifier.citationLiz, E. & Buedo-Fernández, S. A new formula to get sharp global stability criteria for one-dimensional discrete-time models. Qual. Theory Dyn. Syst. 18,813-824 (2019). doi: 10.1007/s12346-018-00314-4gl
dc.identifier.doi10.1007/s12346-018-00314-4
dc.identifier.essn1662-3592
dc.identifier.issn1575-5460
dc.identifier.urihttp://hdl.handle.net/10347/19096
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.1007/s12346-018-00314-4gl
dc.rights© Springer Nature Switzerland AG 2019gl
dc.rights.accessRightsopen accessgl
dc.subjectGlobal stabilitygl
dc.subjectDiscrete-time modelgl
dc.subjectMackey-Glass equationgl
dc.subjectGamma-modelgl
dc.subjectSchwarzian derivativegl
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional::120207 Ecuaciones en diferenciasgl
dc.titleA new formula to get sharp global stability criteria for one-dimensional discrete-time modelsgl
dc.typejournal articlegl
dc.type.hasVersionAMgl
dspace.entity.typePublication
relation.isAuthorOfPublicatione5a8cce0-3422-4fed-89be-a76069d13edf
relation.isAuthorOfPublication.latestForDiscoverye5a8cce0-3422-4fed-89be-a76069d13edf

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