HIV Model Described by Differential Inclusions

Infected population size estimation is a common problem in HIV/AIDS epidemic analysis and it is the most important aspect for planning appropriate care and prevention policies. Some Ordinary Differential Equations models of HIV epidemic in Cuba considering the Contact Tracing strategy have been described in previous works. In this paper we present a HIV/AIDS model described by Differential Inclusions. Also, we establish a mathematical framework allowing us to make suitable prediction of the size HIV infected population at a future time.