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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
Basic reproduction number
Epidemic models
Optimal control strategy
System of ordinary differential equations
Transmission coefficients
Control theory
Ordinary differential equations
Control system
Disease transmission
Disease treatment
Numerical model
Theoretical study
Bacterial transmission
Latent tuberculosis
Mathematical model
Persistent infection
Postprimary tuberculosis
Sensitivity analysis
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
DOI: 10.1016/j.mbs.2013.05.005
ISSN: 0025-5564
Appears in Collections:CIDMA - Artigos

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