Global dynamics on a class of HIV and Mycobacterium tuberculosis co-infection model within body

In this paper, a within-body co-infection model is proposed to characterize the dynamics of interactive spread between HIV and Mycobacterium tuberculosis. The locally and globally asymptotic stabilities of disease-free and endemic equilibria on both two single infection systems, i.e., only HIV or Mtb infection model are derived based on the basic reproduction number [Formula: see text], [Formula: see text], respectively. The basic reproduction number [Formula: see text] of the co-infection model is acquired, and the locally and globally asymptotic stability of disease-free equilibrium are obtained when [Formula: see text], while if [Formula: see text] and the invasion reproduction numbers [Formula: see text], the uniform persistence of disease is also acquired, meanwhile there exists at least one co-infection endemic equilibrium. The theoretical results with numerical simulations are verified, revealing the magnitude and impact of co-infection is much larger than that of single infection, and the disease burden of host would greatly increase if the two kinds of pathogen act synergistically.