THE DYNAMICS OF HIV AND TB CO-INFECTION MODEL COUPLED WITH DUAL-INFECTION

Abstract

A non-linear deterministic mathematical model of HIV-TB co-epidemic is formulated and analyzed. The aim of the study is to investigate the effects of dual- infection on the transmission dynamics of the two diseases. We make distinction between two processes of transmission: co-infection and super-infection. We employ traditional analytical methods of analysis to determine conditions for existence of steady states and their stability. Furthermore, we determine the reproduction number of the model using the next generation operator technique and show that the disease-free equilibrium is locally and globally asymptotically stable if R0 < 1 and unstable if R0 >1. These results have implications on the design of control strategies.