Virology Research Journal

Mathematical Analysis of HIV/AIDS Epidemic in a Heterogeneous Population

WORLD CONFERENCE ON STDs, STIs & HIV/AIDS
July 26-27, 2017 | Vancouver, Canada

Pratibha Rani

Jaypee University of Engineering and Technology, India

Posters & Accepted Abstracts : Virology research J

Abstract:

In this paper, a nonlinear deterministic mathematical model for HIV/AIDS disease is proposed in a heterogeneous population. Here, the total population is divided in two different classes: upper class and the labour class. These classes are further categorized into four different compartments: susceptibles, the latent period of infectives, HIV-positive infectives and AIDS patients. Different rates of parameters are considered for different classes. The equilibrium and the stability of the model are discussed by using basic reproduction number R0. If the basic reproduction number R0 is less than 1, then the disease-free equilibrium is stable and in such a case endemic equilibrium does not exist. If R0 is greater than 1, the endemic equilibrium exists and it is globally stable. The numerical simulations are performed to illustrate our theoretical results.

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