Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide
Autor(es)Thome, Roberto C. A.; Yang, Hyun Mo; Esteva, Lourdes
ResumoWe present a mathematical model to describe the dynamics of mosquito population when sterile male mosquitoes (produced by irradiation) are introduced as a biological control, besides the application of insecticide. 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 as well as the social cost (proportional to the number of fertilized females mosquitoes). The optimal control is obtained by applying the Pontryagin's Maximum Principle. (C) 2009 Elsevier Inc. All rights reserved.
Palavras-ChaveMathematical modeling; Optimal control; Pontryagin's Maximum Principle; Sterile insect technique; Aedes aegypti; Insecticide
ImprentaMathematical Biosciences, v. 223, n. 1, p. 12-23, 2010
Identificador do Objeto Digital10.1016/j.mbs.2009.08.009
DescritoresAedes aegypti - Immune response ; Aedes aegypti - Molecular structure ; Aedes aegypti - Public health
Data de Publicação:2010
