Analysis of a criss-cross model of tuberculosis for homeless and non-homeless subpopulations

We consider a criss-cross model describing tuberculosis epidemic dynamics, which is a modification of the model presented in Romaszko et al. In the model the population is divided into subpopulations of non-homeless and homeless people. Each of the subpopulations consists of two groups - susceptible and infected people. We focus on the analysis of the basic criss-cross model with a function describing transmission of TB based on the mass-action law. The stability analysis will be presented