Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/11920
Title: | Optimal control for a tuberculosis model with reinfection and post-exposure interventions |
Author: | Silva, C. J. Torres, D. F. M. |
Keywords: | Epidemic model Optimal control theory Treatment strategies Tuberculosis Basic reproduction number Epidemic models Optimal control strategy System of ordinary differential equations Transmission coefficients Control theory Ordinary differential equations Control Control system Disease transmission Disease treatment Epidemic Equation Numerical model Optimization Theoretical study Article Bacterial transmission Latent tuberculosis Mathematical model Persistent infection Postprimary tuberculosis Sensitivity analysis Theory Tuberculosis control |
Issue Date: | 2013 |
Publisher: | Elsevier |
Abstract: | We apply optimal control theory to a tuberculosis model given by a system of ordinary differential equations. Optimal control strategies are proposed to minimize the cost of interventions, considering reinfection and post-exposure interventions. They depend on the parameters of the model and reduce effectively the number of active infectious and persistent latent individuals. The time that the optimal controls are at the upper bound increase with the transmission coefficient. A general explicit expression for the basic reproduction number is obtained and its sensitivity with respect to the model parameters is discussed. Numerical results show the usefulness of the optimization strategies. © 2013 Elsevier Inc. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/11920 |
DOI: | 10.1016/j.mbs.2013.05.005 |
ISSN: | 0025-5564 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[271]Silva_Torres_TB_MBS.pdf | 1.58 MB | Adobe PDF |
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