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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAGAL, Pierre
dc.contributor.authorFUMANELLIA, L.
dc.contributor.authorXIAO, D.
dc.contributor.authorYU, X.
dc.date.accessioned2024-04-04T02:17:44Z
dc.date.available2024-04-04T02:17:44Z
dc.date.issued2012
dc.identifier.issn1547-1063
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189256
dc.description.abstractEnIn this article we analyze a mathematical model presented in [11]. The model consists of two scalar ordinary differential equations, which describe the interaction between bacteria and amoebae. We first give the sufficient conditions for the uniform persistence of the model, then we prove that the model can undergo Hopf bifurcation and Bogdanov-Takens bifurcation for some parameter values, respectively.
dc.language.isoen
dc.publisherAIMS Press
dc.title.enQualitative analysis of a model for co-culture of bacteria and amoebae
dc.typeArticle de revue
dc.identifier.doi10.3934/mbe.2012.9.259
dc.subject.halMathématiques [math]
bordeaux.journalMathematical Biosciences and Engineering
bordeaux.page259-279.
bordeaux.volume9
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00993005
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00993005v1
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