Modelling the role of awareness and screening of infectives in the transmission dynamics of HIV∗

Prevention is better than the cure, more so for incurable infectious diseases. The awareness, screening of infectives and counseling can help in devising suitable preventive policies for controlling the incurable infectious diseases. This paper proposes a nonlinear mathematical model to study the effect of awareness, screening of infectives and counseling on the spread of HIV infection in the endemic region. In this work, we determine the basic reproduction number R0 of the model by the method of next generation matrix and it is found that the global dynamics of the spread of the HIV infectious disease are completely determined by the basic reproduction number R0. If R0 ≤ 1, the disease always dies out and the disease-free equilibrium is globally stable. If R0 > 1, the positive endemic equilibrium is locally asymptotically stable and it may be globally stable under some conditions on parameters. The effect of awareness, screening of infectives and counseling on the transmission of HIV is studied using numerical simulation and we observe that all these parameters have positive impact in reducing the transmission of HIV in the population. Our analysis show that with some suitable choice of parameters corresponding to awareness, screening and counseling, the disease can be eliminated from the population within a reasonable duration of time.