We propose and analyze a mathematical model for the mechanical control of the dengue transmitter Aedes aegypti. We are interested in the diminish of the charge capacity of the breeding places (I) with the minimum economic effort, as direct consequence a decreasing of the mature mosquitoes (m) and immature stages (a) population. To achieve this goal we have used an optimal control problem, with an analysis realized using the Pontryagin’s Maximum Principle.