Autor(es): Rafikov, Marat; Rafikova, Elvira; Yang, Hyun Mo

Resumo: We formulate an infinite-time quadratic functional minimization problem of Aedes aegypti mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to obtain the most sustainable strategy to reduce mosquito population and consequently dengue disease. The solution of the optimization control problem is based on the ideas of the Dynamic Programming and Lyapunov Stability using State-Dependent Riccati Equation (SDRE) control method. Different scenarios are analyzed combining three mentioned population management efforts in order to assess the most sustainable policy to reduce the mosquito population.

Palavras-Chave: Mathematical models; Carrying capacity; Disease control; Pest control; Hosts; Environment management; Public health; Insecticides; Dengue; Vectors; Aedes aegypti

Imprenta: Journal of Applied Mathematics, v. 2015, 2015.

Descritores: Aedes aegypti - Dengue

Data de publicação: 2015

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