Two-dimensional stability analysis in a HIV model with quadratic logistic growth term
Analysis of PDEs
2012-11-02 v1
Abstract
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.
Cite
@article{arxiv.1211.0136,
title = {Two-dimensional stability analysis in a HIV model with quadratic logistic growth term},
author = {Claude-Michel Brauner and Xinyue Fan and Luca Lorenzi},
journal= {arXiv preprint arXiv:1211.0136},
year = {2012}
}
Comments
To appear on Commun. Pure Appl. Anal