Two-dimensional stability analysis in a HIV model with quadratic logistic growth term
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | School of Mathematical Sciences | |
| dc.contributor.author | BRAUNER, Claude-Michel | |
| hal.structure.identifier | School of Mathematical Sciences | |
| dc.contributor.author | FAN, Xinyue | |
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | LORENZI, Luca | |
| dc.date.accessioned | 2024-04-04T03:15:49Z | |
| dc.date.available | 2024-04-04T03:15:49Z | |
| dc.date.created | 2012-07 | |
| dc.date.issued | 2013-09 | |
| dc.identifier.issn | 1534-0392 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194169 | |
| dc.description.abstractEn | We consider a Human Immunodeficiency Virus (HIV) model with a logistic growth term and continue the analysis of the previous article [6]. We now take the viral diffusion in a two-dimensional environment. The model consists of two ODEs for the concentrations of the target T cells, the infected cells, and a parabolic PDE for the virus particles. We study the stability of the uninfected and infected equilibria, the occurrence of Hopf bifurcation and the stability of the periodic solutions. | |
| dc.language.iso | en | |
| dc.publisher | AIMS American Institute of Mathematical Sciences | |
| dc.subject.en | HIV | |
| dc.subject.en | stability | |
| dc.subject.en | Hopf bifurcation | |
| dc.subject.en | analytic semigroups | |
| dc.subject.en | center manifold | |
| dc.title.en | Two-dimensional stability analysis in a HIV model with quadratic logistic growth term | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/cpaa.2013.12.1813 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Sciences du Vivant [q-bio] | |
| bordeaux.journal | Communications on Pure and Applied Analysis | |
| bordeaux.page | 32 | |
| bordeaux.volume | 12 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01261114 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01261114v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20on%20Pure%20and%20Applied%20Analysis&rft.date=2013-09&rft.volume=12&rft.issue=5&rft.spage=32&rft.epage=32&rft.eissn=1534-0392&rft.issn=1534-0392&rft.au=BRAUNER,%20Claude-Michel&FAN,%20Xinyue&LORENZI,%20Luca&rft.genre=article |
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