Global stability for a Multistage stem cells transplantation model on
HIV1 patient
Abstract
This paper considers a mathematical model to study the effect of stem
cell transplantation on HIV-1 patients. The model was recently proposed
by the author. The viral dynamics is described by three ordinary
differential equations covering three populations: uninfected T-cells,
infected cells and free virus, but, stem cells lineage passes through
many stages to become specialized T- cells. The stability of the
equilibrium points has been previously analyzed locally. Here we study
the global stability. The proposed analysis can help medicine make the
right decision about the proposed therapy