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 | |
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