The role of vigilance on a discrete-time predator-prey model
The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a trade-off between the safety and growth rate of the prey. Mathematical properti...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
2022
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/23577 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513436205973504 |
|---|---|
| author | Al-Sharawi, Ziyad |
| author2 | Pal, Nikhil Chattopadhyay, Joydev |
| author2_role | author author |
| author_facet | Al-Sharawi, Ziyad Pal, Nikhil Chattopadhyay, Joydev |
| author_role | author |
| dc.creator.none.fl_str_mv | Al-Sharawi, Ziyad Pal, Nikhil Chattopadhyay, Joydev |
| dc.date.none.fl_str_mv | 2022-04-08T05:47:00Z 2022-04-08T05:47:00Z 2022 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlSharawi, Z., Pal, N., & Chattopadhyay, J. (2022). The role of vigilance on a discrete-time predator-prey model. In Discrete & Continuous Dynamical Systems - B (Vol. 0, Issue 0, p. 0). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcdsb.2022017 1553-524X http://hdl.handle.net/11073/23577 10.3934/dcdsb.2022017 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | American Institute of Mathematical Sciences |
| dc.relation.none.fl_str_mv | http://doi.org/10.3934/dcdsb.2022017 |
| dc.subject.none.fl_str_mv | Predator-prey model Vigilance Flip bifurcation Neimark-Sacker bifurcation Chaos control |
| dc.title.none.fl_str_mv | The role of vigilance on a discrete-time predator-prey model |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a trade-off between the safety and growth rate of the prey. Mathematical properties such as stability, permanence, both flip and Neimark-Sacker bifurcations of the model are investigated. Numerical simulations are carried out to illustrate the analytical findings and to explore the impact of prey vigilance on the dynamics of the system. |
| format | article |
| id | aus_e0d0248c8ba537f4debafc2eeff9370d |
| identifier_str_mv | AlSharawi, Z., Pal, N., & Chattopadhyay, J. (2022). The role of vigilance on a discrete-time predator-prey model. In Discrete & Continuous Dynamical Systems - B (Vol. 0, Issue 0, p. 0). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcdsb.2022017 1553-524X 10.3934/dcdsb.2022017 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/23577 |
| publishDate | 2022 |
| publisher.none.fl_str_mv | American Institute of Mathematical Sciences |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The role of vigilance on a discrete-time predator-prey modelAl-Sharawi, ZiyadPal, NikhilChattopadhyay, JoydevPredator-prey modelVigilanceFlip bifurcationNeimark-Sacker bifurcationChaos controlThe change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a trade-off between the safety and growth rate of the prey. Mathematical properties such as stability, permanence, both flip and Neimark-Sacker bifurcations of the model are investigated. Numerical simulations are carried out to illustrate the analytical findings and to explore the impact of prey vigilance on the dynamics of the system.American University of SharjahAmerican Institute of Mathematical Sciences2022-04-08T05:47:00Z2022-04-08T05:47:00Z2022Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlSharawi, Z., Pal, N., & Chattopadhyay, J. (2022). The role of vigilance on a discrete-time predator-prey model. In Discrete & Continuous Dynamical Systems - B (Vol. 0, Issue 0, p. 0). American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcdsb.20220171553-524Xhttp://hdl.handle.net/11073/2357710.3934/dcdsb.2022017en_UShttp://doi.org/10.3934/dcdsb.2022017oai:repository.aus.edu:11073/235772024-08-22T12:01:48Z |
| spellingShingle | The role of vigilance on a discrete-time predator-prey model Al-Sharawi, Ziyad Predator-prey model Vigilance Flip bifurcation Neimark-Sacker bifurcation Chaos control |
| status_str | publishedVersion |
| title | The role of vigilance on a discrete-time predator-prey model |
| title_full | The role of vigilance on a discrete-time predator-prey model |
| title_fullStr | The role of vigilance on a discrete-time predator-prey model |
| title_full_unstemmed | The role of vigilance on a discrete-time predator-prey model |
| title_short | The role of vigilance on a discrete-time predator-prey model |
| title_sort | The role of vigilance on a discrete-time predator-prey model |
| topic | Predator-prey model Vigilance Flip bifurcation Neimark-Sacker bifurcation Chaos control |
| url | http://hdl.handle.net/11073/23577 |