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Paper detail

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

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.

preprint2012arXivOpen access
Claude-Michel BraunerXinyue FanLuca Lorenzi
math.AP
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Claude-Michel BraunerXinyue FanLuca Lorenzi

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