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dc.contributor.authorWikan, Arild
dc.date.accessioned2018-01-23T12:37:56Z
dc.date.available2018-01-23T12:37:56Z
dc.date.issued2017-12-17
dc.description.abstractA discrete age-structured semelparous Leslie matrix model where density dependence is included both in the fecundity and in the survival probabilities is analysed. Depending on strength of density dependence, we show in the precocious semelparous case that the nonstationary dynamics may indeed be rich, ranging from SYC (a dynamical state where the whole population is in one age class only) dynamics to cycles of low period where all age classes are populated. Quasiperiodic and chaotic dynamics have also been identified. Moreover, outside parameter regions where SYC dynamics dominates, we prove that the transfer from stability to instability goes through a supercritical Neimark − Sacker bifurcation, and it is further shown that when the population switches from possessing a precocious to a delayed semelparous life history both stability properties and the possibility of periodic dynamics become weaker.en_US
dc.descriptionSource at <a href=https://doi.org/10.1155/2017/8934295> https://doi.org/10.1155/2017/8934295 </a>.en_US
dc.identifier.citationWikan A. An Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density - Dependent Survival Probabilities.. Journal of Applied Mathematics. 2017;2017:1-14en_US
dc.identifier.cristinIDFRIDAID 1528665
dc.identifier.doi10.1155/2017/8934295
dc.identifier.issn1110-757X
dc.identifier.issn1687-0042
dc.identifier.urihttps://hdl.handle.net/10037/12026
dc.language.isoengen_US
dc.publisherHindawi Publishing Corporationen_US
dc.relation.journalJournal of Applied Mathematics
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413en_US
dc.titleAn Analysis of a Semelparous Population Model with Density-Dependent Fecundity and Density - Dependent Survival Probabilities.en_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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