Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
The principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion envir...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2009
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/16690 |
| الوسوم: |
إضافة وسم
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| _version_ | 1864513434877427712 |
|---|---|
| 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 | 2009 2020-06-09T08:08:30Z 2020-06-09T08:08:30Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z., & Rhouma, M. (2009). Coexistence and extinction in a competitive exclusion leslie/gower model with harvesting and stocking. Journal of Difference Equations and Applications, 15(11-12), 1031–1053. https://doi.org/10.1080/10236190802459861 1563-5120 http://hdl.handle.net/11073/16690 10.1080/10236190802459861 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Taylor & Francis Online |
| dc.relation.none.fl_str_mv | https://doi.org/10.1080/10236190802459861 |
| dc.subject.none.fl_str_mv | Competitive exclusion Leslie/Gower model Stocking Harvesting Coexistence Extinction |
| dc.title.none.fl_str_mv | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion environment. We find that in a system governed by the Leslie/Gower model careful stocking will ensure the coexistence between all species. We also find that constant harvesting of the dominant species may guarantee the survival of the weaker species when the parameters of the model are in a certain range. Mixed strategies and conditional harvesting strategies are also discussed. |
| format | article |
| id | aus_ba2c5e2e005d454fd83ca9283bf0d4a2 |
| identifier_str_mv | AlSharawi, Z., & Rhouma, M. (2009). Coexistence and extinction in a competitive exclusion leslie/gower model with harvesting and stocking. Journal of Difference Equations and Applications, 15(11-12), 1031–1053. https://doi.org/10.1080/10236190802459861 1563-5120 10.1080/10236190802459861 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16690 |
| publishDate | 2009 |
| publisher.none.fl_str_mv | Taylor & Francis Online |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stockingAl-Sharawi, ZiyadRhouma, Mohamed Ben HajCompetitive exclusionLeslie/Gower modelStockingHarvestingCoexistenceExtinctionThe principle of competitive exclusion states that when the competition between species is sufficiently strong, only the dominant species survives. In this paper, we examine the strategies of using stocking and harvesting to prevent the extinction of the weak species in a competitive exclusion environment. We find that in a system governed by the Leslie/Gower model careful stocking will ensure the coexistence between all species. We also find that constant harvesting of the dominant species may guarantee the survival of the weaker species when the parameters of the model are in a certain range. Mixed strategies and conditional harvesting strategies are also discussed.Taylor & Francis Online2020-06-09T08:08:30Z2020-06-09T08:08:30Z2009Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z., & Rhouma, M. (2009). Coexistence and extinction in a competitive exclusion leslie/gower model with harvesting and stocking. Journal of Difference Equations and Applications, 15(11-12), 1031–1053. https://doi.org/10.1080/102361908024598611563-5120http://hdl.handle.net/11073/1669010.1080/10236190802459861en_UShttps://doi.org/10.1080/10236190802459861oai:repository.aus.edu:11073/166902024-08-22T12:02:15Z |
| spellingShingle | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking Al-Sharawi, Ziyad Competitive exclusion Leslie/Gower model Stocking Harvesting Coexistence Extinction |
| status_str | publishedVersion |
| title | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| title_full | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| title_fullStr | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| title_full_unstemmed | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| title_short | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| title_sort | Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking |
| topic | Competitive exclusion Leslie/Gower model Stocking Harvesting Coexistence Extinction |
| url | http://hdl.handle.net/11073/16690 |