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arXiv · 1211.0136

Two-dimensional stability analysis in a HIV model with quadratic logistic growth term

Claude-Michel Brauner·Xinyue Fan·Luca Lorenzi
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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.

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Claude-Michel Brauner, Xinyue Fan, Luca Lorenzi. 2012-11-01. Two-dimensional stability analysis in a HIV model with quadratic logistic growth term. https://arxiv.org/abs/1211.0136

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