Two-Patch Transmission of Tuberculosis

For a two-patch transmission of tuberculosis (TB), the disease-free equilibrium and the basic reproduction rate R0 are computed. The disease-free equilibrium is globally asymptotically stable when the basic reproduction rate is less than one. The model can have one or more endemic equilibria. The increased progression rate from latent to active TB in one population may play a significant role in the rising prevalence of TB in the other population. The increased migration from the first to the second population increases the prevalence level of TB in the second population and decreases the TB prevalence in the first population.