The region of attraction and exponentially uniform dynamics of HIV infection

The Human Immunodeficiency Virus (HIV) model used in this paper, describes a patient´s infection initial stage by means of a three-state-variable model. The dynamics of the patient´s evolution is analysed during a 500 day term, where the range of day-long transient response is clearly shown, and then the trend towards the asymptotic state is shown. This cell behavior is the patient´s state before patient develops AIDS. Based on that information, an estimate of the exponential uniform bound for perturbation, as well as the phase-space attraction region are shown. This information will be helpful for the physician personal in order to obtain a benign transient concerning the viral load dynamics. For the schedule of therapy it is desired.