Optimization of cereal output in presence of locusts

Abstract

In this paper, we study a modelization of the evolution of cereal output production,controlled by adding fertilizers and in presence of locusts, then by adding insecticides. The aim isto maximize the cereal output and meanwhile minimize pollution caused by adding fertilizers andinsecticides. The optimal control problem obtained is solved theoretically by using the PontryaginMaximum Principle, and then numerically with shooting method