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Generalized r-Lambert function in the analysis of fixed points and bifurcations of homographic 2-Ricker maps

2021-08-19Journal article Restricted access
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dc.contributor.authorRocha, J. Leonel
dc.contributor.authorTAHA, Abdel-Kaddous
dc.date.accessioned2021-09-22T12:49:02Z
dc.date.available2021-09-22T12:49:02Z
dc.date.issued2021-08-19
dc.description.abstractThis paper aims to study the nonlinear dynamics and bifurcation structures of a new mathematical model of the γ-Ricker population model with a Holling type II per-capita birth function, where the Allee effect parameter is γ = 2. A generalized r-Lambert function is defined on the 3D parameters space to determine the existence and variation of the number of nonzero fixed points of the homographic 2-Ricker maps considered. The singularity points of the generalized r-Lambert function are identified with the cusp points on a fold bifurcation of the homographic 2-Ricker maps. In this approach, the application of the transcendental generalized r-Lambert function is demonstrated based on the analysis of local and global bifurcation structures of this three-parameter family of homographic maps. Some numerical studies are included to illustrate the theoretical results.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, J. Leonel; TAHA, Abdel-Kaddous – Generalized r-Lambert function in the analysis of fixed points and bifurcations of homographic 2-Ricker maps. International Journal of Bifurcation and Chaos. ISSN 0218-1274. Vol. 31, N.º 11 (2021), pp. 2130033-1- 2130033-19pt_PT
dc.identifier.doi10.1142/S0218127421300330pt_PT
dc.identifier.eissn1793-6551
dc.identifier.issn0218-1274
dc.identifier.urihttp://hdl.handle.net/10400.21/13781
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherWorld Scientific Publishing Companypt_PT
dc.relationCentre of Statistics and its Applications
dc.subjectγ-Ricker population modelpt_PT
dc.subjectGeneralized r-Lambert functionpt_PT
dc.subjectFixed pointpt_PT
dc.subjectFold and flip bifurcationspt_PT
dc.subjectCusp pointpt_PT
dc.titleGeneralized r-Lambert function in the analysis of fixed points and bifurcations of homographic 2-Ricker mapspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre of Statistics and its Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00006%2F2020/PT
oaire.citation.endPage2130033-19pt_PT
oaire.citation.issue11pt_PT
oaire.citation.startPage2130033-1pt_PT
oaire.citation.titleInternational Journal of Bifurcation and Chaospt_PT
oaire.citation.volume31pt_PT
oaire.fundingStream6817 - DCRRNI ID
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
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
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