Muhammad Abdullahi Yau, A Mathematical Model of HIV Transmission Dynamics in Closed Population, Research Journal of Applied Sciences, Volume 5,Issue 4, 2010, Pages 283-284, ISSN 1815-932x, rjasci.2010.283.284, (https://makhillpublications.co/view-article.php?doi=rjasci.2010.283.284) Abstract: 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. Keywords: Compartmental model;free equilibrium states;HIV;dynamics;susceptible;extreme