The dynamics of some discrete models with delay under the effect of constant yield harvesting

In this paper, we study the dynamics of population models of the form xn+1 = xnf(xn−1) under the effect of constant yield harvesting. Results concerning stability, boundedness, persistence and oscillations of solutions are given. Also, some regions of persistence and extinction are characterized. Pie...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Abu-Saris, Raghib (author)
مؤلفون آخرون: Al-Sharawi, Ziyad (author), Rhouma, Mohamed Ben Haj (author)
التنسيق: article
منشور في: 2013
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/11073/16696
الوسوم: إضافة وسم
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author Abu-Saris, Raghib
author2 Al-Sharawi, Ziyad
Rhouma, Mohamed Ben Haj
author2_role author
author
author_facet Abu-Saris, Raghib
Al-Sharawi, Ziyad
Rhouma, Mohamed Ben Haj
author_role author
dc.creator.none.fl_str_mv Abu-Saris, Raghib
Al-Sharawi, Ziyad
Rhouma, Mohamed Ben Haj
dc.date.none.fl_str_mv 2013
2020-06-11T11:27:02Z
2020-06-11T11:27:02Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv This is a preprint manuscript of: Abu-Saris, R., AlSharawi, Z., & Rhouma, M. B. H. (2013). The dynamics of some discrete models with delay under the effect of constant yield harvesting. Chaos Solitons and Fractals, 54, 26–38. https://doi.org/10.1016/j.chaos.2013.05.008
1873-2887
http://hdl.handle.net/11073/16696
10.1016/j.chaos.2013.05.008
dc.language.none.fl_str_mv en_US
dc.publisher.none.fl_str_mv Elsevier
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.chaos.2013.05.008
dc.subject.none.fl_str_mv Population models
Harvesting
Persistence
Extinction
Pielou's equation
dc.title.none.fl_str_mv The dynamics of some discrete models with delay under the effect of constant yield harvesting
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 the dynamics of population models of the form xn+1 = xnf(xn−1) under the effect of constant yield harvesting. Results concerning stability, boundedness, persistence and oscillations of solutions are given. Also, some regions of persistence and extinction are characterized. Pielous equation was considered as an example on these models, and a connection with a Lyness type equation has been established at certain harvesting level, which is used to give an explicit description of a persistent set.
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identifier_str_mv This is a preprint manuscript of: Abu-Saris, R., AlSharawi, Z., & Rhouma, M. B. H. (2013). The dynamics of some discrete models with delay under the effect of constant yield harvesting. Chaos Solitons and Fractals, 54, 26–38. https://doi.org/10.1016/j.chaos.2013.05.008
1873-2887
10.1016/j.chaos.2013.05.008
language_invalid_str_mv en_US
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oai_identifier_str oai:repository.aus.edu:11073/16696
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spelling The dynamics of some discrete models with delay under the effect of constant yield harvestingAbu-Saris, RaghibAl-Sharawi, ZiyadRhouma, Mohamed Ben HajPopulation modelsHarvestingPersistenceExtinctionPielou's equationIn this paper, we study the dynamics of population models of the form xn+1 = xnf(xn−1) under the effect of constant yield harvesting. Results concerning stability, boundedness, persistence and oscillations of solutions are given. Also, some regions of persistence and extinction are characterized. Pielous equation was considered as an example on these models, and a connection with a Lyness type equation has been established at certain harvesting level, which is used to give an explicit description of a persistent set.Sultan Qaboos UniversityElsevier2020-06-11T11:27:02Z2020-06-11T11:27:02Z2013Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfThis is a preprint manuscript of: Abu-Saris, R., AlSharawi, Z., & Rhouma, M. B. H. (2013). The dynamics of some discrete models with delay under the effect of constant yield harvesting. Chaos Solitons and Fractals, 54, 26–38. https://doi.org/10.1016/j.chaos.2013.05.0081873-2887http://hdl.handle.net/11073/1669610.1016/j.chaos.2013.05.008en_UShttps://doi.org/10.1016/j.chaos.2013.05.008oai:repository.aus.edu:11073/166962024-08-22T12:01:42Z
spellingShingle The dynamics of some discrete models with delay under the effect of constant yield harvesting
Abu-Saris, Raghib
Population models
Harvesting
Persistence
Extinction
Pielou's equation
status_str publishedVersion
title The dynamics of some discrete models with delay under the effect of constant yield harvesting
title_full The dynamics of some discrete models with delay under the effect of constant yield harvesting
title_fullStr The dynamics of some discrete models with delay under the effect of constant yield harvesting
title_full_unstemmed The dynamics of some discrete models with delay under the effect of constant yield harvesting
title_short The dynamics of some discrete models with delay under the effect of constant yield harvesting
title_sort The dynamics of some discrete models with delay under the effect of constant yield harvesting
topic Population models
Harvesting
Persistence
Extinction
Pielou's equation
url http://hdl.handle.net/11073/16696