skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem

Abstract

We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection, and Acquired Immunodeficiency Syndrome (AIDS) proposed in Silva and Torres (Discr Contin Dyn Syst 35(9):4639–4663, 2015). We introduce and analyze a multiobjective formulation of an optimal control problem, where the two conflicting objectives are minimization of the number of HIV-infected individuals with AIDS clinical symptoms and coinfected with AIDS and active TB; and costs related to prevention and treatment of HIV and/or TB measures. The proposed approach eliminates some limitations of previous works. The results of the numerical study provide comprehensive insights about the optimal treatment policies and the population dynamics resulting from their implementation. Some nonintuitive conclusions are drawn. Overall, the simulation results demonstrate the usefulness and validity of the proposed approach.

Authors:
 [1]; ;  [2]
  1. University of Minho, Algoritmi R&D Center (Portugal)
  2. University of Aveiro, Department of Mathematics, Center for Research and Development in Mathematics and Applications (CIDMA) (Portugal)
Publication Date:
OSTI Identifier:
22769322
Resource Type:
Journal Article
Journal Name:
Computational and Applied Mathematics
Additional Journal Information:
Journal Volume: 37; Journal Issue: 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0101-8205
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; AIDS VIRUS; CONTROL THEORY; NUMERICAL ANALYSIS; OPTIMAL CONTROL; SIMULATION; TUBERCULOSIS

Citation Formats

Denysiuk, Roman, Silva, Cristiana J., E-mail: cjoaosilva@ua.pt, and Torres, Delfim F. M.,. Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem. United States: N. p., 2018. Web. doi:10.1007/S40314-017-0438-9.
Denysiuk, Roman, Silva, Cristiana J., E-mail: cjoaosilva@ua.pt, & Torres, Delfim F. M.,. Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem. United States. doi:10.1007/S40314-017-0438-9.
Denysiuk, Roman, Silva, Cristiana J., E-mail: cjoaosilva@ua.pt, and Torres, Delfim F. M.,. Tue . "Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem". United States. doi:10.1007/S40314-017-0438-9.
@article{osti_22769322,
title = {Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem},
author = {Denysiuk, Roman and Silva, Cristiana J., E-mail: cjoaosilva@ua.pt and Torres, Delfim F. M.,},
abstractNote = {We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection, and Acquired Immunodeficiency Syndrome (AIDS) proposed in Silva and Torres (Discr Contin Dyn Syst 35(9):4639–4663, 2015). We introduce and analyze a multiobjective formulation of an optimal control problem, where the two conflicting objectives are minimization of the number of HIV-infected individuals with AIDS clinical symptoms and coinfected with AIDS and active TB; and costs related to prevention and treatment of HIV and/or TB measures. The proposed approach eliminates some limitations of previous works. The results of the numerical study provide comprehensive insights about the optimal treatment policies and the population dynamics resulting from their implementation. Some nonintuitive conclusions are drawn. Overall, the simulation results demonstrate the usefulness and validity of the proposed approach.},
doi = {10.1007/S40314-017-0438-9},
journal = {Computational and Applied Mathematics},
issn = {0101-8205},
number = 2,
volume = 37,
place = {United States},
year = {2018},
month = {5}
}