Exact Linearisation and Control of a HIV-1 Predator-Prey Model.

The aim of this work was to develop a HIV-1 control strategy based on the nonlinear geometric control theory. Such a strategy was applied on a three variables deterministic model that describes the characteristic stages of the HIV-1 infection. The control design developed in this work allows the exact linearisation of the model. The results show that the nonlinear control developed is effective to minimize the viral load in the initial stage and the asymptomatic period of the infection. The main characteristic of this type of pharmacological control is the antiretroviral drug dosage in a proportional way to the viral population