ANZIAM J. 45(2003), 181–193 AN EPIDEMIC MODEL FOR THE TRANSMISSION DYNAMICS OF HIV AND ANOTHER PATHOGEN

A five-dimensional deterministic model is proposed for the dynamics between HIV and another pathogen within a given population. The model exhibits four equilibria: a disease-free equilibrium, an HIV-free equilibrium, a pathogen-free equilibrium and a co-existence equilibrium. The existence and stability of these equilibria are investigated. A competitive finite-difference method is constructed for the solution of the non-linear model. The model predicts the optimal therapy level needed to eradicate both diseases. 1