Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307211
Type: TESE
Title: Controle otimo aplicado na estrategia de combate ao Aedes aegypti utilizando inseticida e mosquitos estereis
Title Alternative: Optimal control theory applied to assess the control of Aedes aegypti by sterile insect technique and insecticide
Author: Thome, Roberto Carlos Antunes
Advisor: Yang, Hyun Mo, 1959-
Abstract: Resumo: O ciclo de mosquitos é dividido em dois estágios: fase aquática (ovos, larvas e pupas) e fase alada (mosquitos adultos). Apresentamos um modelo de controle ótimo de mosquitos que consiste na introdução de mosquitos machos estéreis obtidos pela técnica de irradiação. Nosso modelo é baseado em equações diferenciais ordinárias que descrevem a dinâmica dos mosquitos na fase aquática, dos mosquitos fêmeas imaturas (antes de acasalar), dos mosquitos fêmeas fertilizadas (depois de acasalar), dos mosquitos fêmeas não-fertilizadas (depois de acasalar), dos mosquitos machos (macho natural) e dos mosquitos machos estéreis (irradiados). O problema é colocado no formato de um problema de controle ótimo no qual minimizamos o custo com inseticida, o custo com a produção de mosquitos irradiados e o custo social (número de mosquitos fêmeas fertilizadas)

Abstract: The life cycle of mosquito Aedes aegypti is comprised by two phases: aquatic (egg, larvae and pupae) and winged form (adult mosquitoes). We present a model to describe the dynamics of mosquito population in which sterile male mosquitoes (prodeced by irradiation) are introduced as a form of biological control, besides the traditional application of insecticide. Our model is formulated taking into account a system of ordinary differential equations which describes the dynamics of the mosquitoes in the aquatic phase, of the immature female mosquitoes (before mating), of the fertilized female mosquitoes (after mating), of the unfertilized female mosquitoes (after mating), of the natural male mosquitoes (wild) and of the sterile male mosquitoes (irradiated). In order to analyze the minimal effort to reduce the fertile female mosquitoes, we search for the optimal control considering the cost of insecticide application, the cost of the production of irradiated mosquitoes and their delivery and the social cost (number of fertilized female mosquitoes, potential transmissor of dengue). The optimal control is obtained by applying the Pontryagin's Maximum Principle
Subject: Epidemiologia
Dengue - Controle
Biomatemática
Aedes aegypti
Language: Português
Editor: [s.n.]
Date Issue: 2007
Appears in Collections:IMECC - Dissertação e Tese

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