AN EPIDEMIC MODEL FOR THE TRANSMISSION DYNAMICS OF HIV/AIDS AND ANOTHER INFECTION

Abstract

A simple deterministic mathematical model is proposed to study the spread of HIV/AIDS in a population with variable size structure. In writing the model, we have divided the population under consideration into five subclasses i.e. Susceptibles S (t), Infectives I (t), Pre-AIDS class P (t), AIDS patients A (t) and of serious HIV positive patients R (t) suffering from other opportunistic infection like tuberculosis. The model is applicable to a population of homosexual males with constant immigration rate and natural mortality rate. The model has been studied qualitatively using stability theory. It is shown that the positive non-trivial equilibrium is always locally stable but it may become globally stable under certain conditions showing that the disease becomes endemic due to constant migration of the population into the community.