Análise matemática de um modelo de controle de populações de mosquitos / A mathematical analysis of a model for control of mosquito populations

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

29/07/2010

RESUMO

The proliferation of mosquitoes in inhabited regions is an important public health issue since these insects are vectors of several infectious diseases. Thus, the study of techniques for controlling of mosquito populations has an important role in the quest for efficient combat techniques; in particular, the adequate understanding of mathematical models that describe such situations may help in the decision process of finding appropriate procedures to attain that. With this goal, in this work we performed a rigorous mathematical analysis of a certain optimal control problem associated to a partial differential equation modeling the growth and spreading of the mosquito population in a given region. We analyze the problem of controlling such population through the application of insecticide by a spraying unit; our objective is to search for optimal paths to be followed by this unit in order to minimize a certain functional that involves both the whole mosquito population and the operational costs.

ASSUNTO(S)

otimização matemática teoria do controle mosquito equações diferenciais parciais semigrupos mathematical optimization control theory partial differential equations mosquito semigroups

ACESSO AO ARTIGO

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