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Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays

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dc.contributor.authorFranco Leis, Daniel
dc.contributor.authorGuiver, Chris
dc.contributor.authorLogemann, Hartmut
dc.contributor.authorPerán Mazón, Juan Jacobo
dc.contributor.editorElsevier
dc.date.accessioned2025-06-25T12:57:09Z
dc.date.available2025-06-25T12:57:09Z
dc.date.issued2024-06-14
dc.descriptionThe registered version of this article, first published in “Physica D: Nonlinear Phenomena, 467 ( June 2024), 134260", is available online at the publisher's website: Universidad nacional de Educación a Distancia, https://doi.org/10.1016/j.physd.2024.134260
dc.description.abstractPersistence, excitability and stability properties are considered for a class of nonlinear, forced, positive discrete-time systems with delays. As will be illustrated, these equations arise in a number of biological and ecological contexts. Novel sufficient conditions for persistence, excitability and stability are presented. Further, similarities and differences between the delayed equations considered presently and their corresponding undelayed versions are explored, and some striking differences are noted. It is shown that recent results for a corresponding class of positive, nonlinear delay-differential (continuous-time) systems do not carry over to the discrete-time setting. Detailed discussion of three examples from population dynamics is provided.en
dc.description.versionversión publicada
dc.identifier.citationFranco, D., Guiver, C., Logemann, H., & Perán, J. (2024). Persistency and stability of a class of nonlinear forced positive discrete-time systems with delays. Physica D Nonlinear Phenomena, 467, 134260. https://doi.org/10.1016/j.physd.2024.134260
dc.identifier.doihttps://doi.org/10.1016/j.physd.2024.134260
dc.identifier.issn0167-2789
dc.identifier.urihttps://hdl.handle.net/20.500.14468/26918
dc.journal.issue134260
dc.journal.titlePhysica D: Nonlinear Phenomena
dc.journal.volume467
dc.language.isoen
dc.page.final16
dc.page.initial1
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMATEMÁTICA APLICADA I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.uriAtribución 4.0 Internacional
dc.subject12 Matemáticas
dc.subject33 Ciencias Tecnológicas::3310 Tecnología industrial
dc.subject12 Matemáticas::1299 Otras especialidades matemáticas
dc.subject.keywordsDifference equationen
dc.subject.keywordsExcitabilityen
dc.subject.keywordsLur’e systemen
dc.subject.keywordsPersistenceen
dc.subject.keywordsPositive systemen
dc.subject.keywordsStability Time delayen
dc.titlePersistency and stability of a class of nonlinear forced positive discrete-time systems with delaysen
dc.typeartículoes
dc.typejournal articleen
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relation.isAuthorOfPublication4fc550fa-e1bc-448a-b7d8-df57abfe88a7
relation.isAuthorOfPublication024d8fb0-a117-4839-8f61-1ad45ee0fdb4
relation.isAuthorOfPublication.latestForDiscovery4fc550fa-e1bc-448a-b7d8-df57abfe88a7
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