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Bifurcation analysis of the γ-Ricker population model using the Lambert W function

2020-06-15Journal article Restricted access
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dc.contributor.authorRocha, J. Leonel
dc.contributor.authorTAHA, Abdel-Kaddous
dc.date.accessioned2021-05-27T13:43:45Z
dc.date.available2021-05-27T13:43:45Z
dc.date.issued2020-06-15
dc.description.abstractIn this work, we present the dynamical study and the bifurcation structures of the γ-Ricker population model. Resorting to the Lambert W function, the analytical solutions of the positive fixed point equation for the γ-Ricker population model are explicitly presented and conditions for the existence and stability of these fixed points are established. The main focus of this work is the definition and characterization of the Allee effect bifurcation for the γ-Ricker population model, which is not a pitchfork bifurcation. Consequently, we prove that the phenomenon of Allee effect for the γ-Ricker population model is associated with the asymptotic behavior of the Lambert W function in a neighborhood of zero. The theoretical results describe the global and local bifurcations of the γ-Ricker population model, using the Lambert W function in the presence and absence of the Allee effect. The Allee effect, snapback repeller and big bang bifurcations are investigated in the parameters space considered. Numerical studies are included.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, J. Leonel; TAHA, Abdel-Kaddous – Bifurcation analysis of the γ-Ricker population model using the Lambert W function. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. ISSN 0218-1274. Vol. 30, N.º 7 (2020), pp. 2050108-1- 2050108-16pt_PT
dc.identifier.doi10.1142/S0218127420501084pt_PT
dc.identifier.eissn1793-6551
dc.identifier.issn0218-1274
dc.identifier.urihttp://hdl.handle.net/10400.21/13388
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWorld Scientific Publishing Companypt_PT
dc.relationUID/MAT/00006/2020 (CEAUL) - FCTpt_PT
dc.subjectγ-Ricker population modelpt_PT
dc.subjectLambert W functionpt_PT
dc.subjectAllee effect bifurcationpt_PT
dc.subjectFold and flip bifurcationspt_PT
dc.subjectSnapback repeller bifurcationpt_PT
dc.subjectBig bang bifurcationpt_PT
dc.titleBifurcation analysis of the γ-Ricker population model using the Lambert W functionpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage2050108-16pt_PT
oaire.citation.issue7pt_PT
oaire.citation.startPage2050108-1pt_PT
oaire.citation.titleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineeringpt_PT
oaire.citation.volume30pt_PT
person.familyNameRocha
person.familyNameTAHA
person.givenNameJ. Leonel
person.givenNameAbdel-Kaddous
person.identifier1869126
person.identifier.ciencia-id6A13-4D5A-BABA
person.identifier.orcid0000-0001-8053-6822
person.identifier.orcid0000-0002-6468-3803
person.identifier.scopus-author-id24829973500
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationb0ebd0b9-c949-40d7-b8ea-41955a5559f1
relation.isAuthorOfPublication7455af10-06c2-472c-9a7d-00bd952b906c
relation.isAuthorOfPublication.latestForDiscovery7455af10-06c2-472c-9a7d-00bd952b906c

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