Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect
In this paper, we investigate the impact of Allee effect on the stability of a discrete-time predator-prey model with a non-monotonic functional response. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stabilit...
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| Other Authors: | , , , |
| Format: | article |
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2020
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| Online Access: | http://hdl.handle.net/11073/16704 |
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| _version_ | 1864513435865186304 |
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| author | Al-Sharawi, Ziyad |
| author2 | Pal, Saheb Rana, Sourav Pal, Nikhil Chattopadhyay, Joydev |
| author2_role | author author author author |
| author_facet | Al-Sharawi, Ziyad Pal, Saheb Rana, Sourav Pal, Nikhil Chattopadhyay, Joydev |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad Pal, Saheb Rana, Sourav Pal, Nikhil Chattopadhyay, Joydev |
| dc.date.none.fl_str_mv | 2020-06-17T05:36:41Z 2020-06-17T05:36:41Z 2020-03-16 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Alsharawi, Z., Pal, S., Pal, N. & Chattopadhyay, J. (2020). A discrete-time model with non-monotonic functional response and strong Allee effect in prey, Journal of Difference Equations and Applications, 26:3, 404-431, DOI: 10.1080/10236198.2020.1739276 1563-5120 http://hdl.handle.net/11073/16704 10.1080/10236198.2020.1739276 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Taylor & Francis |
| dc.relation.none.fl_str_mv | https://doi.org/10.1080/10236198.2020.1739276 |
| dc.subject.none.fl_str_mv | Predator-prey model Allee effect Local stability Period-doubling bifurcation Neimark-Sacker bifurcation |
| dc.title.none.fl_str_mv | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect A discrete-time model with non-monotonic functional response and strong Allee effect in prey |
| dc.type.none.fl_str_mv | Peer-Reviewed Preprint info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we investigate the impact of Allee effect on the stability of a discrete-time predator-prey model with a non-monotonic functional response. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stability and bifurcation theory. By considering the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the period-doubling and the Neimark-Sacker bifurcations. Also, sufficient conditions are given to show that increasing the magnitude of the Allee parameter within a certain domain plays a significant role in stabilizing the system. |
| format | article |
| id | aus_53c0c715e9514fefc75304c50efea449 |
| identifier_str_mv | Alsharawi, Z., Pal, S., Pal, N. & Chattopadhyay, J. (2020). A discrete-time model with non-monotonic functional response and strong Allee effect in prey, Journal of Difference Equations and Applications, 26:3, 404-431, DOI: 10.1080/10236198.2020.1739276 1563-5120 10.1080/10236198.2020.1739276 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16704 |
| publishDate | 2020 |
| publisher.none.fl_str_mv | Taylor & Francis |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effectA discrete-time model with non-monotonic functional response and strong Allee effect in preyAl-Sharawi, ZiyadPal, SahebRana, SouravPal, NikhilChattopadhyay, JoydevPredator-prey modelAllee effectLocal stabilityPeriod-doubling bifurcationNeimark-Sacker bifurcationIn this paper, we investigate the impact of Allee effect on the stability of a discrete-time predator-prey model with a non-monotonic functional response. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stability and bifurcation theory. By considering the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the period-doubling and the Neimark-Sacker bifurcations. Also, sufficient conditions are given to show that increasing the magnitude of the Allee parameter within a certain domain plays a significant role in stabilizing the system.Taylor & Francis2020-06-17T05:36:41Z2020-06-17T05:36:41Z2020-03-16Peer-ReviewedPreprintinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlsharawi, Z., Pal, S., Pal, N. & Chattopadhyay, J. (2020). A discrete-time model with non-monotonic functional response and strong Allee effect in prey, Journal of Difference Equations and Applications, 26:3, 404-431, DOI: 10.1080/10236198.2020.17392761563-5120http://hdl.handle.net/11073/1670410.1080/10236198.2020.1739276en_UShttps://doi.org/10.1080/10236198.2020.1739276oai:repository.aus.edu:11073/167042024-08-22T12:01:39Z |
| spellingShingle | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect Al-Sharawi, Ziyad Predator-prey model Allee effect Local stability Period-doubling bifurcation Neimark-Sacker bifurcation |
| status_str | publishedVersion |
| title | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| title_full | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| title_fullStr | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| title_full_unstemmed | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| title_short | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| title_sort | Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect |
| topic | Predator-prey model Allee effect Local stability Period-doubling bifurcation Neimark-Sacker bifurcation |
| url | http://hdl.handle.net/11073/16704 |