The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model
In this paper, we study a general discrete–time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1 = xnf(xn−k) − hxn where h > 0, k ∈ {0, 1}, and the density dependent function f satisfies cer...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2017
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/16702 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513444197171200 |
|---|---|
| author | Al-Sharawi, Ziyad |
| author2 | Amleh, Amal |
| author2_role | author |
| author_facet | Al-Sharawi, Ziyad Amleh, Amal |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad Amleh, Amal |
| dc.date.none.fl_str_mv | 2017 2020-06-15T04:49:53Z 2020-06-15T04:49:53Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z., & Amleh, A. (2017). The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model. Mathematical Methods in the Applied Sciences, 40(18), 6747–6759. https://doi.org/10.1002/mma.4487 1099-1476 http://hdl.handle.net/11073/16702 10.1002/mma.4487 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Wiley |
| dc.relation.none.fl_str_mv | https://doi.org/10.1002/mma.4487 |
| dc.subject.none.fl_str_mv | Contest competition Scramble competition Neimark-Sacker bifurcation Persistence |
| dc.title.none.fl_str_mv | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we study a general discrete–time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1 = xnf(xn−k) − hxn where h > 0, k ∈ {0, 1}, and the density dependent function f satisfies certain conditions that are typical of a contest competition. The harvesting parameter h is considered as the main parameter and its effect on the general dynamics of the model is investigated. In the absence of delay in the recruitment (k = 0), we show the effect of h on the stability, the maximum sustainable yield, the persistence of solutions and how the intraspecific competition change from contest to scramble competition. When the delay in recruitment is one (k = 1), we show that a Neimark–Sacker bifurcation occurs, and the obtained invariant curve is supercritical. Furthermore, we give a characterization of the persistent set. |
| format | article |
| id | aus_ee19432987d24aa7a7d2c6e520efd035 |
| identifier_str_mv | AlSharawi, Z., & Amleh, A. (2017). The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model. Mathematical Methods in the Applied Sciences, 40(18), 6747–6759. https://doi.org/10.1002/mma.4487 1099-1476 10.1002/mma.4487 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16702 |
| publishDate | 2017 |
| publisher.none.fl_str_mv | Wiley |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition modelAl-Sharawi, ZiyadAmleh, AmalContest competitionScramble competitionNeimark-Sacker bifurcationPersistenceIn this paper, we study a general discrete–time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1 = xnf(xn−k) − hxn where h > 0, k ∈ {0, 1}, and the density dependent function f satisfies certain conditions that are typical of a contest competition. The harvesting parameter h is considered as the main parameter and its effect on the general dynamics of the model is investigated. In the absence of delay in the recruitment (k = 0), we show the effect of h on the stability, the maximum sustainable yield, the persistence of solutions and how the intraspecific competition change from contest to scramble competition. When the delay in recruitment is one (k = 1), we show that a Neimark–Sacker bifurcation occurs, and the obtained invariant curve is supercritical. Furthermore, we give a characterization of the persistent set.Wiley2020-06-15T04:49:53Z2020-06-15T04:49:53Z2017Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z., & Amleh, A. (2017). The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model. Mathematical Methods in the Applied Sciences, 40(18), 6747–6759. https://doi.org/10.1002/mma.44871099-1476http://hdl.handle.net/11073/1670210.1002/mma.4487en_UShttps://doi.org/10.1002/mma.4487oai:repository.aus.edu:11073/167022024-08-22T12:02:13Z |
| spellingShingle | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model Al-Sharawi, Ziyad Contest competition Scramble competition Neimark-Sacker bifurcation Persistence |
| status_str | publishedVersion |
| title | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| title_full | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| title_fullStr | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| title_full_unstemmed | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| title_short | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| title_sort | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model |
| topic | Contest competition Scramble competition Neimark-Sacker bifurcation Persistence |
| url | http://hdl.handle.net/11073/16702 |