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Title: Multiobjective approach to optimal control for a dengue transmission model
Author: Denysiuk, Roman
Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Costa, Lino
Espírito Santo, Isabel
Torres, Delfim F. M.
Keywords: Mathematical biosciences
Mathematical modeling
Multiobjective optimization
Optimal control
Issue Date: 2015
Publisher: International Academic Press
Abstract: During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical model for the dengue disease transmission and finding the most effective ways of controlling the disease. The model is described by a system of ordinary differential equations representing human and vector dynamics. Multiobjective optimization is applied to find the optimal control strategies, considering the simultaneous minimization of infected humans and costs due to insecticide application. The obtained results show that multiobjective optimization is an effective tool for finding the optimal control. The set of trade-off solutions encompasses a whole range of optimal scenarios, providing valuable information about the dynamics of infection transmissions. The results are discussed for different values of model parameters.
Peer review: yes
DOI: 10.19139/soic.v3i3.144
ISSN: 2310-5070
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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