Aperiodic Solution Mathematical Model for Pest Management and Optimization Chemical Control

Abstract

In view of the bestsolution of chemical control agricultural pests, we first build and analysisthe pest management model of spraying insecticide, the crop efficacy model and thedose model of the surrounding environment according to impulsive differentialequations. In view of the aperiodic solution model, we will find out theoptimal dose for the pesticides and time interval for sprayingby using optimal control theory, which can make the residue of the dose for thepesticides in crop and for the pesticide spraying the surroundings reach theminimum, make the number of pest under economic damage threshold at the sametime , and give the best solution to control agricultural pests by using the pesticides.At last, we explain the implementation of the scheme through the numericalsimulation.