A mathematical analysis of a model of control of mosquito populations / Analise matematica de um modelo de controle de populações de mosquitos

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

In this work, we consider an optimal control problem governed by a parabolic partial differential equation, which models the growth and diffusion of a mosquito population in a certain region of the Euclidean plane. For this relatively simple model, we show the existence of an optimal trajectory to be followed by a insecticide spraying device, in the sense of minimizing a certain functional that takes in consideration both the the total mosquito population and the operational costs. We also characterize such optimal trajectories (controls) by deriving their respective first order optimal conditions. For this, we use the Dubovitskii and Milyutin formalism, which is based on the separation of certain cones associated to the functional to be minimized, and to the restrictions of the problem, including the equation. We also analyze the problem from the point of view of the penalization method.

ASSUNTO(S)

otimização matematica control theory mosquito mathematical optimization mosquito teoria do controle partial differential equations equações diferenciais parciais

ACESSO AO ARTIGO

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