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

<p/> <p>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...

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Main Authors: AlSharawi Ziyad, Ben Haj Rhouma Mohamed
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2010/215875
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spelling doaj-ae4eabb2b3604cc68db377c46c7e7aa52020-11-24T22:08:17ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101215875The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating EnvironmentAlSharawi ZiyadBen Haj Rhouma Mohamed<p/> <p>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.</p> http://www.advancesindifferenceequations.com/content/2010/215875
collection DOAJ
language English
format Article
sources DOAJ
author AlSharawi Ziyad
Ben Haj Rhouma Mohamed
spellingShingle AlSharawi Ziyad
Ben Haj Rhouma Mohamed
The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment
Advances in Difference Equations
author_facet AlSharawi Ziyad
Ben Haj Rhouma Mohamed
author_sort AlSharawi Ziyad
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 <p/> <p>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.</p>
url http://www.advancesindifferenceequations.com/content/2010/215875
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