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Title: Multiobjective approach to optimal control for a tuberculosis model
Author: Denysiuk, R.
Silva, C. J.
Torres, D. F. M.
Keywords: Epidemic model
Multiobjective optimization
Optimal control theory
Treatment strategies
Differential equations
Disease control
Ordinary differential equations
Dynamics of infections
Epidemic modeling
Multiobjective approach
Optimal control strategy
System of ordinary differential equations
Issue Date: 2015
Publisher: Taylor & Francis
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.
Peer review: yes
DOI: 10.1080/10556788.2014.994704
ISSN: 1055-6788
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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