Optimal Direct Control Programs for a Prey-Predator System

[+] Author and Article Information
T. L. Vincent

Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Ariz.

E. M. Cliff

Aerospace Engineering, Virginia Polytechnic Institute, Blacksburg, Va.

Bean-San Goh

School of Mathematics, University of New South Wales, Kensington, N.S.W., Australia

J. Dyn. Sys., Meas., Control 96(1), 71-76 (Mar 01, 1974) (6 pages) doi:10.1115/1.3426778 History: Received September 21, 1973; Online July 13, 2010


Numerous biological systems involve species acting out the roles of prey and predators. In this paper, it is assumed that the prey feed upon resources of value to humans and that the predators only food supply is the prey. An often used control program for such a situation is a direct one in which the prey are controlled by destroying them outright. Such programs often times also involve the predators resulting in side effects which can be both unexpected and unpleasant. In this paper, the influence of direct human control is added to a known model for a prey-predator system. Optimal control programs are determined for a cost function dependent upon both resource damage due to the prey and economic (including environmental) costs of control. The basic characteristics of a direct optimal pest management program are illustrated with several figures and discussion.

Copyright © 1974 by ASME
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