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

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 ca...

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Main Authors:	Ziyad AlSharawi, Mohamed Ben Haj Rhouma
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Advances in Difference Equations
Online Access:	http://dx.doi.org/10.1155/2010/215875

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spelling	doaj-0137990a07a742bf9b79b1974cd4abdb2020-11-25T02:30:07ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/215875The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating EnvironmentZiyad AlSharawiMohamed Ben Haj RhoumaWe 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. http://dx.doi.org/10.1155/2010/215875
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ziyad AlSharawi Mohamed Ben Haj Rhouma
spellingShingle	Ziyad AlSharawi Mohamed Ben Haj Rhouma The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment Advances in Difference Equations
author_facet	Ziyad AlSharawi Mohamed Ben Haj Rhouma
author_sort	Ziyad AlSharawi
title	The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
title_short	The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
title_full	The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
title_fullStr	The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
title_full_unstemmed	The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
title_sort	discrete beverton-holt model with periodic harvesting in a periodically fluctuating environment
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1839 1687-1847
publishDate	2010-01-01
description	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.
url	http://dx.doi.org/10.1155/2010/215875
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The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment

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