A three-component agro-ecosystem consisting of a single prey (host), predator (parasite), and crop is described by means of a linear vector difference equation involving a control term. Deviation of the state of the system from a threshold, and the use of chemical control agents are subject to economic penalties. Dynamic Programming is used to determine the optimal pest control policy as a function of the state of the system, so that a quadratic cost function is minimized. Stratified random sampling is used to estimate the state of the system. A simulation of the model, utilizing a digital computer, is presented.

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