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Fourth International Conference on Dynamic Systems and Applications
May 21-24, 2003
Department of Mathematics, Morehouse College
Atlanta, GA, USA

Organizers
M. Sambandham

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Optimal Harvesting in an Integro-difference Population Model
by
Hem Raj Joshi
University of Tennessee, TN
Coauthors: Hem Raj Joshi, Suzanne Lenhart and Holly Gaff

We consider the harvest of a certain proportion of a population that is modeled by an integro-difference equation. This model is discrete in time and continuous in the space variable. The dispersal of the population is modeled by a integral of the population density against a kernel function. The control is the harvest, and the goal is to maximize the profit. The optimal control is characterized by introducing an adjoint function. Numerical results and interpretations are given for four different kernels.

Date received: March 25, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caky-61.