  We review the optimal control of systems modeling the dynamics of
tuberculosis. Time dependent control functions are introduced in the
mathematical models, representing strategies for the improvement of the
treatment and cure of active infectious and/or latent individuals. Optimal
control theory allows then to find the optimal way to implement the strategies,
minimizing the number of infectious and/or latent individuals and keeping the
cost of implementation as low as possible. An optimal control problem is
proposed and solved, illustrating the procedure. Simulations show an effective
reduction in the number of infectious individuals.
