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Hopf bifurcation for a size structured model with resting phase
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | MAGAL, Pierre | |
dc.contributor.author | CHU, J. | |
dc.date.accessioned | 2024-04-04T02:17:40Z | |
dc.date.available | 2024-04-04T02:17:40Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 1078-0947 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189250 | |
dc.description.abstractEn | This article investigates Hopf bifurcation for a size-structured population dynamic model that is designed to describe size dispersion among individuals in a given population. This model has a nonlinear and nonlocal boundary condition. We reformulate the problem as an abstract non-densely defined Cauchy problem, and study it in the frame work of integrated semi-group theory. We prove a Hopf bifurcation theorem and we present some numerical simulations to support our analysis. | |
dc.language.iso | en | |
dc.publisher | American Institute of Mathematical Sciences | |
dc.title.en | Hopf bifurcation for a size structured model with resting phase | |
dc.type | Article de revue | |
dc.identifier.doi | 10.3934/dcds.2013.33.4891 | |
dc.subject.hal | Mathématiques [math] | |
bordeaux.journal | Discrete and Continuous Dynamical Systems - Series A | |
bordeaux.page | 4891-4921 | |
bordeaux.volume | 33 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 11-12 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00993068 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00993068v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20A&rft.date=2013&rft.volume=33&rft.issue=11-12&rft.spage=4891-4921&rft.epage=4891-4921&rft.eissn=1078-0947&rft.issn=1078-0947&rft.au=MAGAL,%20Pierre&CHU,%20J.&rft.genre=article |
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