Stability Analysis of an HIV/AIDS Epidemic Model with Screening

Abstract

We present a non-linear mathematical model which analyzes the spread and control of HIV (human immunode…ciency virus)/AIDS(acquired immun- ode…ciency syndrome). We divide the population into four subclasses one of them is the susceptible population S and the others are HIV infectives (HIV positives that do not know they are infected) I1, HIV positives that know they are infected (by away of medical screening or other ways) I2 and that of AIDS patients A. Both the disease free equilibrium and the infected equilibrium are found and their global stability is investigated. The model is analyzed by using the basic reproduction number R0. If R0 1. Also we study the eect of screening of unaware infectives on the spread of HIV disease and study the situation when aware HIV infectives take preventive measures and change their behavior so that they do not spread the