A Mathematical Model of HIV Transmission Dynamics in Closed Population

In this study we proposed a mathematical model of HIV transmission dynamics, the population is partitioned into four compartments of Susceptible S (t), Infected I (t), Removed R (t) and the Controlled U (t). Extreme conditions are imposed on the model equations to check for stability of free equilibrium states and it is confirmed that the disease free equilibrium states is locally asymptotically stable.