Integrated pest management model and optimization control

This paper considers optimization control of integrated pest management.Crops to passive absorbing due to spaying pesticides,the effects of the pesticides gradually decrease,this process of the absorption,distribution and elimination would be analogous to taking medicine of the human being.So in this paper we try to establish the models of the crops pesticide effect by pharmacokinetics theory.First of all,the impulsive models of the pest management consisting of the spaying pesticides and releasing natural enemies of pests along with crops pesticide effect are established and analyzed.Then,making use of the optimal control theory to solve the optimum dose of the pesticides and the time intervals of spaying pesticides.Thus,given an optimal pest management strategy of the integrated pest management,which make pesticide residuals in the crops and the total dose of the spraying pesticides least,also make the maximum value of the pest population is larger then the given Economic Threshold.Finally,the simulation result shows the strategy is viable and effectively.