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Mathematical Problems in Engineering
Volume 2015, Article ID 367593, 8 pages
http://dx.doi.org/10.1155/2015/367593
Research Article

Optimal Harvesting Effort for Nonlinear Predictive Control Model for a Single Species Fishery

1Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
2Department of Information Systems and Decision Sciences, Fairleigh Dickinson University, Vancouver, BC, Canada V6B 2P6

Received 8 October 2014; Revised 7 January 2015; Accepted 27 January 2015

Academic Editor: Shihua Li

Copyright © 2015 Messaoud Bounkhel and Lotfi Tadj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use nonlinear model predictive control to find the optimal harvesting effort of a renewable resource system with a nonlinear state equation that maximizes a nonlinear profit function. A solution approach is proposed and discussed and satisfactory numerical illustrations are provided.