Modeling Optimal Control for Mosquito and Insecticide

Abstract

In this paper we consider a mathematical model of mosquito and insecticide. The aim of this model is to reduce the amount of mosquitoes in the ponds and swamps. Mosquitos are the main cause of malaria disease. We used the optimal spray strategies to minimize the amount of mosquito, we work optimal control framework by applying the Pontryagin's Maximum Principle. A characterization of the optimal control via adjoint variables was established. We obtained an optimality system that we sought to solve numerically by using MATLAB.