title: Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide.
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.
authors.affiliation: CEFET/RJ, Departamento de Ensino Superior, DEPBG CEP: 20271-110, Rio de Janeiro, RJ, Brazil.
authors.forename: Roberto C A
authors.initials: RC
authors.lastname: Thomé
authors.forename: Hyun Mo
authors.initials: HM
authors.lastname: Yang
authors.forename: Lourdes
authors.initials: L
authors.lastname: Esteva
mesh_terms: D000330:Aedes / Q000254:growth & development* / Q000821:virology; D000818:Animals; D003715:Dengue / Q000517:prevention & control* / Q000635:transmission / Q000821:virology; D005260:Female; D006801:Humans; D007306:Insecticides / Q000191:economics / Q000494:pharmacology*; D008297:Male; D008954:Models, Biological; D018803:Models, Economic; D009716:Numerical Analysis, Computer-Assisted; D010572:Pest Control, Biological / Q000191:economics / Q000379:methods*
chemical_list: D007306:Insecticides