ISSN 2347-1921 191 | Page Oct 26, 2013 Modelling and Analysis of HIV/AIDS Menace using Differential Equations Nita H.Shah 1 , Jyoti Gupta 2 1 Department of Mathematics, Gujarat University, Ahmedabad, Gujarat, India 1 nitahshah@gmail.com , 2 guptajyoti.gu@gmail.com Corresponding author: Prof. Nita H. Shah ABSTRACT Mathematical models play important role in understanding the population dynamics of HIV/AIDS. In this study, a mathematical model is formulated for a community which has the structure of two classes with different levels of sexual activity – one is high activity group that include commercial sex workers and their male customers; and the other is low activity group. These two groups are further divided into two sub-groups as HIV infected and unaware, and HIV infected and aware after screening. It is assumed that people in low activity group when become aware, do not spread infection any more by means of either not participating in sexual activity at all or by taking some preventive measures. The model is analysed using stability theory of differential equations, numerical simulation and sensitivity analysis. Keywords Mathematical Model; HIV/AIDS; Numerical Simulation; Stability. Academic Discipline And Sub-Disciplines Mathematical Modelling of Epidemics TYPE (METHOD/APPROACH) Modeling and simulation of the dynamics of infectious diseases using differential equation. Council for Innovative Research Peer Review Research Publishing System Journal: Journal of Advances in Mathematics Vol 3, No 2 editor@cirworld.com www.cirworld.com, member.cirworld.com