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

被引：95

作者：

Thome, Roberto C. A. ^{[1
]}

Yang, Hyun Mo ^{[2
]}

Esteva, Lourdes ^{[3
]}

机构：

[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

来源：

MATHEMATICAL BIOSCIENCES | 2010年 / 223卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Mathematical modeling; Optimal control; Pontryagin's Maximum Principle; Sterile insect technique; Aedes aegypti; Insecticide; DENGUE EPIDEMICS; IMMUNE-RESPONSE; RELEASE; MODEL; POPULATION; HIV; ERADICATION; IMMIGRATION; MALES;

D O I：

10.1016/j.mbs.2009.08.009

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：12 / 23

页数：12

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