Global stability of TB models: Heterogeneous populations and resistance.

摘要

In this thesis, we first formulate a two-group tuberculosis model involving the interaction between a homeless group and the general community. We investigate the global stability of the disease-free and disease endemic equilibria using a Lyapunov function. In the second part, we develop a two-train tuberculosis model with drug-sensitive strain and drug-resistant strain, and describe the transmission dynamics of such a model. Finally, we present some numerical simulation results based on our models parameterized in terms of Canadian population.