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Allee's dynamics and bifurcation structures in von Bertalanffy's population size functions

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dc.contributor.authorRocha, J. Leonel
dc.contributor.authorTaha, Abdel-Kaddous
dc.contributor.authorFournier-Prunaret, D.
dc.date.accessioned2020-04-30T20:09:25Z
dc.date.available2020-04-30T20:09:25Z
dc.date.issued2018
dc.description.abstractThe interest and the relevance of the study of the population dynamics and the extinction phenomenon are our main motivation to investigate the induction of Allee Effect in von Bertalanffy's population size functions. The adjustment or correction factor of rational type introduced allows us to analyze simultaneously strong and weak Allee's functions and functions with no Allee effect, whose classification is dependent on the stability of the fixed point x = 0. This classification is founded on the concepts of strong and weak Allee's effects to the population growth rates associated. The transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, is verified with the evolution of the rarefaction critical density or Allee's limit. The existence of cusp points on a fold bifurcation curve is related to this phenomenon of transition on Allee's dynamics. Moreover, the "foliated" structure of the parameter plane considered is also explained, with respect to the evolution of the Allee limit. The bifurcation analysis is based on the configurations of fold and flip bifurcation curves. The chaotic semistability and the nonadmissibility bifurcation curves are proposed to this family of 1D maps, which allow us to define and characterize the corresponding Allee effect region.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationROCHA, José Leonel; TAHA, Abdel-Kaddous; FOURNIER-PRUNARET, D. – Allee's dynamics and bifurcation structures in von Bertalanffy's population size functions. Journal of Physics Conference Series. ISSN 1742-6588. Vol. 990 (2018), pp. 1-21pt_PT
dc.identifier.doi10.1088/1742-6596/990/1/012011pt_PT
dc.identifier.issn1742-6588
dc.identifier.issn1742-6596
dc.identifier.urihttp://hdl.handle.net/10400.21/11564
dc.language.isoengpt_PT
dc.publisherIOP Publishingpt_PT
dc.relationSFRH/BSAB/128144/2016 - FCTpt_PT
dc.subjectAllee Effectpt_PT
dc.subjectBertalanffy's populationpt_PT
dc.subjectSize functionspt_PT
dc.subjectStrong and weak Allee's functionspt_PT
dc.titleAllee's dynamics and bifurcation structures in von Bertalanffy's population size functionspt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00006%2F2013/PT
oaire.citation.endPage21pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Physics: Conference Seriespt_PT
oaire.citation.volume990pt_PT
oaire.fundingStream5876
person.familyNameRocha
person.givenNameJ. Leonel
person.identifier1869126
person.identifier.ciencia-id6A13-4D5A-BABA
person.identifier.orcid0000-0001-8053-6822
person.identifier.scopus-author-id24829973500
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typeconferenceObjectpt_PT
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