Qualitative analysis of a model for co-culture of bacteria and amoebae
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | MAGAL, Pierre | |
dc.contributor.author | FUMANELLIA, L. | |
dc.contributor.author | XIAO, D. | |
dc.contributor.author | YU, X. | |
dc.date.accessioned | 2024-04-04T02:17:44Z | |
dc.date.available | 2024-04-04T02:17:44Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1547-1063 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189256 | |
dc.description.abstractEn | In 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.iso | en | |
dc.publisher | AIMS Press | |
dc.title.en | Qualitative analysis of a model for co-culture of bacteria and amoebae | |
dc.type | Article de revue | |
dc.identifier.doi | 10.3934/mbe.2012.9.259 | |
dc.subject.hal | Mathématiques [math] | |
bordeaux.journal | Mathematical Biosciences and Engineering | |
bordeaux.page | 259-279. | |
bordeaux.volume | 9 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00993005 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00993005v1 | |
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