Optimal Chemical Control Based on τ-Periodic Solution Models in Pest Management

Abstract

For the issue of the optimal chemical control method in agricultural pests, impulsive differential equations theory is applied to establish and analyze both the pest management model of spraying pesticides and the corps effectiveness model; for -periodic solution models, in order to make the residual pesticide dosage in crops and the dosage of spraying minimum, control pest number under the economic damage threshold, optimal control theory is employed to determine the optimal pesticide dosage and spraying interval. So, a best method about controlling agricultural pests via pesticide is given. Finally, Numerical Simulation is used to explain the implement of this method.