Artículos de revistas
Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide
Registro en:
Mathematical Biosciences. Elsevier Science Inc, v. 223, n. 1, n. 12, n. 23, 2010.
0025-5564
WOS:000273896400002
10.1016/j.mbs.2009.08.009
Autor
Thome, RCA
Yang, HM
Esteva, L
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. (C) 2009 Elsevier Inc. All rights reserved. 223 1 12 23 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) PAPIIT-UNAM [IN108607-3] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [04/07075-7] CNPq [302108/2008-4] PAPIIT-UNAM [IN108607-3]