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An analysis analysis of an optimal control problem for mosquito populations

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Autor(es):
da Silva Filho, Cicero Alfredo [1] ; Boldrini, Jose Luiz [2]
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Univ Estadual Santa Cruz, Ilheus, BA - Brazil
[2] Univ Estadual Campinas, Campinas, SP - Brazil
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 42, p. 353-377, AUG 2018.
Citações Web of Science: 0
Resumo

We analyze a system of nonlinear partial differential equations modeling the dynamics of certain mosquito populations by taking in consideration the iterations among the immature (aquatic) subpopulation, the adult winged subpopulation and the environment resources; the immature subpopulation is assumed to be age-structured and the model also considers the action of control mechanisms on these subpopulations. After a first analysis on the existence and uniqueness of solutions for the model, we use the obtained results to prove the existence of an optimal solution of a given optimal control problem. The corresponding first order optimality conditions are also rigorously obtained by approximating our original optimal control problem by pure optimization problems obtained by using penalization arguments. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

Processo FAPESP: 09/15098-0 - Avaliando controle de epidemias utilizando modelos matemáticos e computacionais
Beneficiário:Hyun Mo Yang
Modalidade de apoio: Auxílio à Pesquisa - Temático