Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide.
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.
Thomé
Roberto C A
RC
CEFET/RJ, Departamento de Ensino Superior, DEPBG CEP: 20271-110, Rio de Janeiro, RJ, Brazil.
Yang
Hyun Mo
HM
Esteva
Lourdes
L
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*
D007306:Insecticides