Multiobjective approach to optimal control for a tuberculosis model
Abstract
Mathematical modelling can help to explain the nature and dynamics of infection transmissions, as well as support a policy for implementing those strategies that are most likely to bring public health and economic benefits. The paper addresses the application of optimal control strategies in a tuberculosis model. The model consists of a system of ordinary differential equations, which considers reinfection and post-exposure interventions. We propose a multiobjective optimization approach to find optimal control strategies for the minimization of active infectious and persistent latent individuals, as well as the cost associated to the implementation of the control strategies. Optimal control strategies are investigated for different values of the model parameters. The obtained numerical results cover a whole range of the optimal control strategies, providing valuable information about the tuberculosis dynamics and showing the usefulness of the proposed approach.
Cite
@article{arxiv.1412.0528,
title = {Multiobjective approach to optimal control for a tuberculosis model},
author = {Roman Denysiuk and Cristiana J. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1412.0528},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Optimization Methods and Software, ISSN 1055-6788 (Print), 1029-4937 (Online). Submitted 09-May-2014; revised 19-Oct-2014; accepted 30-Nov-2014. arXiv admin note: text overlap with arXiv:1305.2145