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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2010
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| Online Access: | http://hdl.handle.net/11073/16677 |
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| _version_ | 1864513434833387520 |
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| author | Al-Sharawi, Ziyad |
| author2 | Rhouma, Mohamed Ben Haj |
| author2_role | author |
| author_facet | Al-Sharawi, Ziyad Rhouma, Mohamed Ben Haj |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad Rhouma, Mohamed Ben Haj |
| dc.date.none.fl_str_mv | 2010 2020-06-04T09:04:08Z 2020-06-04T09:04:08Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z. & Rhouma, M. B. The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equations, 2010, 215875 (2010). doi: 10.1155/2010/215875 1687-1847 http://hdl.handle.net/11073/16677 10.1155/2010/215875 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Springer |
| dc.relation.none.fl_str_mv | https://doi.org/10.1155/2010/215875 |
| dc.subject.none.fl_str_mv | Cyclic Permutation Intrinsic Growth Rate Maximum Sustainable Yield Periodic Harvesting Constant Environment |
| dc.title.none.fl_str_mv | The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| 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. |
| format | article |
| id | aus_b4877698b8c7cd018143e60fb77a11d5 |
| identifier_str_mv | AlSharawi, Z. & Rhouma, M. B. The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equations, 2010, 215875 (2010). doi: 10.1155/2010/215875 1687-1847 10.1155/2010/215875 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16677 |
| publishDate | 2010 |
| publisher.none.fl_str_mv | Springer |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating EnvironmentAl-Sharawi, ZiyadRhouma, Mohamed Ben HajCyclic PermutationIntrinsic Growth RateMaximum Sustainable YieldPeriodic HarvestingConstant EnvironmentWe 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.Springer2020-06-04T09:04:08Z2020-06-04T09:04:08Z2010Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z. & Rhouma, M. B. The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment. Advances in Difference Equations, 2010, 215875 (2010). doi: 10.1155/2010/2158751687-1847http://hdl.handle.net/11073/1667710.1155/2010/215875en_UShttps://doi.org/10.1155/2010/215875oai:repository.aus.edu:11073/166772024-08-22T12:02:11Z |
| spellingShingle | The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment Al-Sharawi, Ziyad Cyclic Permutation Intrinsic Growth Rate Maximum Sustainable Yield Periodic Harvesting Constant Environment |
| status_str | publishedVersion |
| title | 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_short | The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment |
| title_sort | The Discrete Beverton-Holt Model with Periodic Harvesting in a Periodically Fluctuating Environment |
| topic | Cyclic Permutation Intrinsic Growth Rate Maximum Sustainable Yield Periodic Harvesting Constant Environment |
| url | http://hdl.handle.net/11073/16677 |