Control of infection dynamics with application to HIV/AIDS Model

We investigate control of the state of infection dynamics without explicit modeling of the immune system. By using constant drug dosage we prove almost global asymptotic stability of an equilibrium with assumption of zero immune system, and then by varying the drug effect we study how to drive any initial state into a region which represents desirable clinical conditions. These results can be used for a number of biological systems due to the generality of the considered dynamics. We apply the results to a HIV/AIDS model, showing that the immune system is enhanced to the level of the long-term nonprogressor, where the infected patient does not develop the symptoms of AIDS, with less amount of drug, of less efficacy, than in existing studies.