Optimal Control on a Discrete Time Model for Tuberculosis

John Sebastian Simon, Rodolfo Po

Abstract

An optimal control problem is studied in a discrete time model describing the dynamics of Tuberculosis transmission in which treatments in both latency and infectious periods are considered. Objectives include maximising the susceptible population at the final observational time and minimising the cost induced from the controls. The controls are characterised using Pontryagin's Optimality Principle, and are solved numerically, together with the state equations, using a forward-backward sweep method.