Stability and persistence in a compartment model of pulmonary tuberculosis (Q5957798)

Here, a model of pulmonary tuberculosis is given. It consists of seven categories. The authors prove the existence of both trivial and nontrivial equilibria (where the trivial equilibrium is defined by \(x(i)=0\), \(i=2,3,...,7\)). They derive conditions for the trivial equilibrium to be locally and globally asymptotically stable. They also derive conditions for the persistence of the system.