%0 Journal Article %T A Mathematical Model of HIV Transmission Dynamics in Closed Population %A Muhammad Abdullahi Yau %J Research Journal of Applied Sciences %D 2012 %I %R 10.3923/rjasci.2010.283.284 %X 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. %U http://www.medwellonline.net/abstract/?doi=rjasci.2010.283.284