In this Paper, deterministic and stochastic differential equation (SIR) models for HIV propagation are formulated using Ghana data. The stability of the disease free and endemic equilibrium points of the models is investigated as well as an implementation of numerical simulation of the models to observe the effect of a decrease in the infection rate. It was found that for both the deterministic and the stochastic models, an infection rate of β=0.2 or less would cause the number of infective to be permanently less than the number of susceptible
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