Optimal Control of Tuberculosis: A Review
arXiv:1406.3456 · doi:10.1007/978-3-319-16118-1_37
Abstract
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.
This is a preprint of a paper whose final and definite form will be published in the volume 'Mathematics of Planet Earth' that initiates the book series 'CIM Series in Mathematical Sciences' (CIM-MS) published by Springer. Submitted Aug 2013; Revised and Accepted June 2014