Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide

Author(s)

Thome, Roberto C. A. ^[1] ; Yang, Hyun Mo ^[2] ; Esteva, Lourdes ^[3]

Affiliation

^[1] CEFET RJ, Dept Ensino Super, DEPBG, BR-20271110 Rio De Janeiro - Brazil

^[2] Univ Estadual Campinas, IMECC, Dept Matemat Aplicada, BR-13081970 Campinas, SP - Brazil

^[3] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF - Mexico

• Document type: Journal article
• Source: MATHEMATICAL BIOSCIENCES; v. 223, n. 1, p. 12-23, JAN 2010.
• Web of Science Citations: 48

Abstract

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. (AU)

• FAPESP's process: 04/07075-7 - Immune-epidemiology of infectious diseases: quantitative approaches considering clinical, therapeutic and prophylactic aspects
• Grantee: Hyun Mo Yang
• Support Opportunities: Research Projects - Thematic Grants