Threshold dynamic for quasi-endemic equilibrium from co-epidemic HIV-TB model with re-infection TB in heterosexual population

The study of the threshold dynamic co-epidemic of the HIV-TB is important to understand how the disease is related, and how prevention and treatment is most effective. In this paper, the mathematical model can be used to provide insight into the dynamics of co-epidemic HIV-TB is the most effective. In particular, we examined the effects of re-infection of TB in the susceptible heterosexual population. We have obtained the effect re-infection TB in heterosexual population significant to the magnitude of the basic reproduction number. In a simulation model of the rate of transition from exposed to active TB is much shorter than the transition from individual latent HIV to individuals with HIV less attention. Co-epidemic HIV-TB in this paper describes the importance of including the re-infection TB and effects of HIV on TB and vice versa on the transmission and progression of the HIV and TB epidemic.