Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey

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dc.contributor.affiliationQueensland University of Technology (QUT)
dc.contributor.affiliationUniversidad de Las Americas - Chile
dc.contributor.affiliationUniversity of South Dakota
dc.contributor.affiliationWageningen University & Research
dc.contributor.authorArancibia-Ibarra, Claudio
dc.contributor.authorFlores, Jose D.
dc.contributor.authorvan Heijster, Peter
dc.date.accessioned2022-02-22T16:05:59Z
dc.date.available2022-02-22T16:05:59Z
dc.date.issued2022-01-26
dc.description.abstractIn this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov–Takens bifurcations.
dc.format.mimetypeapplication/pdf
dc.identifier.citationFrontiers in Applied Mathematics and Statistics, 7, 731038. https://doi.org/10.3389/fams.2021.731038
dc.identifier.doihttps://doi.org/10.3389/fams.2021.731038
dc.identifier.issn2297-4687
dc.identifier.orcidhttps://orcid.org/0000-0001-9725-7029
dc.identifier.researcheridAAB-5918-2021
dc.identifier.researcheridJ-4452-2012
dc.identifier.researcheridGQO-8933-2022
dc.identifier.rorhttps://ror.org/03pnv4752
dc.identifier.rorhttps://ror.org/0166e9x11
dc.identifier.rorhttps://ror.org/0043h8f16
dc.identifier.rorhttps://ror.org/04qw24q55
dc.identifier.scopusauthorid57207817800
dc.identifier.scopusauthorid8938207800
dc.identifier.scopusauthorid24759489100
dc.identifier.urihttps://repositorio.udla.cl/handle/udla/938
dc.language.isoeng
dc.publisherFRONTIERS MEDIA SA
dc.relation.isindexedbyWeb of Science
dc.relation.issn2297-4687
dc.rightsCreative Commons Attribution 4.0 International
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceFRONTIERS IN APPLIED MATHEMATICS AND STATISTICS
dc.source.urihttps://doi.org/10.3389/fams.2021.731038
dc.subjectLeslie-Gower model
dc.subjectweak Allee effect
dc.subjectHolling type II
dc.subjectbifurcations
dc.subjectnumerical simulation
dc.subject.lcshLeslie–Gower model
dc.titleStability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey
dc.title.alternativeStability Analysis of a Modified Leslie-Gower Predation Model With Weak Allee Effect in the Prey
dc.typejournal article
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.driverinfo:eu-repo/semantics/article
dc.udla.catalogadorCBM
oaire.citation.titleFRONTIERS IN APPLIED MATHEMATICS AND STATISTICS
oaire.citation.volume7
udla.curacion.controljmvg
udla.oecd.area1 Ciencias Naturales
udla.oecd.discipline1.6.15 Ecología
udla.oecd.subarea1.6 Ciencias Biológicas

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