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The nonlinear dynamic model presented in this article includes most aspects known thus far regarding the dynamics of HIV-1 in the human body. It permits an analytical study of the dynamics of the disease (AIDS). The parameters used in the model can be estimated from data obtained in sequential measures taken from patients without interrupting any treatment. The model can be used to determine the state of health of an individual, verify the effects of drugs, and make prognoses concerning the evolution of the patient, including correlations with clinical manifestations.