Two-dimensional stability analysis in a HIV model with quadratic logistic growth term
Langue
en
Article de revue
Ce document a été publié dans
Communications on Pure and Applied Analysis. 2013-09, vol. 12, n° 5, p. 32
AIMS American Institute of Mathematical Sciences
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
HIV
stability
Hopf bifurcation
analytic semigroups
center manifold
Origine
Importé de halUnités de recherche