Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide.
Autor(es): Thom?? Roberto C A; Yang Hyun Mo; Esteva Lourdes
Resumo: We 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.
Palavras-Chave: Mathematical modeling; Optimal control; Pontryagin's Maximum Principle; Sterile insect technique; Aedes aegypti; Insecticide
Imprenta: Mathematical Biosciences, v. 223, n. 1, p. 12-23, 2010
Identificador do objeto digital: 10.1016/j.mbs.2009.08.009
Descritores: Aedes aegypti - Pathogenesis ; Aedes aegypti - Viral infections ; Aedes aegypti - Transmission ; Aedes aegypti - Dengue ; Aedes aegypti - Public health
Data de publicação: 2010
