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Dynamics of the discrete Seno population model: Combined effects of harvest timing and intensity on population stability

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dc.contributor.authorFranco Leis, Daniel
dc.contributor.authorLogemann, Hartmut
dc.contributor.authorPerán Mazón, Juan Jacobo
dc.contributor.authorSegura, Juan
dc.date.accessioned2026-04-15T06:53:19Z
dc.date.available2026-04-15T06:53:19Z
dc.date.issued2017-08-01
dc.descriptionThis is the Accepted Manuscript of an article published by Elsevier in "Applied Mathematical Modelling, Volume 48, 2017", available online: https://doi.org/10.1016/j.apm.2017.02.048
dc.descriptionEste es el manuscrito aceptado de un artículo publicado por Elsevier en " Applied Mathematical Modelling, Volume 48, 2017", disponible en línea: https://doi.org/10.1016/j.apm.2017.02.048
dc.description.abstractThe paper contains new results on the impact of harvesting times and intensities on the stability properties of Seno population models. It is proved that sufficiently high harvest intensities are stabilizing for any harvesting time in the sense that they create a positive equilibrium that attracts all positive solutions. Moreover, in the special case that the nonlinearity in the Seno model is a Ricker function, we derive a global stability result independent of timing and valid for low to medium harvesting efforts. The proof is based on a characterization of those harvesting intensities which guarantee a negative Schwarzian derivative for all harvesting times. Finally, we rigorously show that timing can be stabilizing as well as destabilizing by itself. In particular, a recent conjecture formulated by Cid et al. (2014) [1] is shown to be false.en
dc.description.provenanceMade available in DSpace on 2026-04-15T06:53:19Z (GMT). No. of bitstreams: 1 AcceptedVersion_DANIEL FRANCO LEIS.pdf: 3299245 bytes, checksum: babc16cce47b0bbfcb4780300c25943c (MD5) Previous issue date: 2017-08-01en
dc.description.versionversión final
dc.identifier.citationDaniel Franco, Hartmut Logemann, Juan Perán, Juan Segura, Dynamics of the discrete Seno population model: Combined effects of harvest timing and intensity on population stability, Applied Mathematical Modelling, Volume 48, 2017, Pages 885-898, ISSN 0307-904X, https://doi.org/10.1016/j.apm.2017.02.048
dc.identifier.doihttps://doi.org/10.1016/j.apm.2017.02.048
dc.identifier.eissn1872-8480
dc.identifier.urihttps://hdl.handle.net/20.500.14468/32338
dc.journal.titleApplied Mathematical Modelling
dc.journal.volume48
dc.language.isoen
dc.page.final898
dc.page.initial885
dc.publisherELSEVIER
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsconstant effort harvestingen
dc.subject.keywordsdiscrete population modelen
dc.subject.keywordsstabilizationen
dc.subject.keywordsricker mapen
dc.subject.keywordsschwarzian derivativeen
dc.titleDynamics of the discrete Seno population model: Combined effects of harvest timing and intensity on population stabilityen
dc.typeartículoes
dc.typejournal articleen
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relation.isAuthorOfPublication024d8fb0-a117-4839-8f61-1ad45ee0fdb4
relation.isAuthorOfPublication.latestForDiscovery4fc550fa-e1bc-448a-b7d8-df57abfe88a7
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