Advances in Difference Equations
Volume 2010 (2010), Article ID 215875, 18 pages
Research Article

The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment

Department of Mathematics and Statistics, Sultan Qaboos University, Al-Khod, P.O. Box 36, Muscat 123, Oman

Received 7 August 2009; Revised 22 November 2009; Accepted 31 January 2010

Academic Editor: Elena Braverman

Copyright © 2010 Ziyad AlSharawi and Mohamed Ben Haj Rhouma. 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.


We investigate the effect of constant and periodic harvesting on the Beverton-Holt model in a periodically fluctuating environment. We show that in a periodically fluctuating environment, periodic harvesting gives a better maximum sustainable yield compared to constant harvesting. However, if one can also fix the environment, then constant harvesting in a constant environment can be a better option, especially for sufficiently large initial populations. Also, we investigate the combinatorial structure of the periodic sequence of carrying capacities and its effect on the maximum sustainable yield. Finally, we leave some questions worth further investigations.