Codimension-one bifurcation analysis and chaos of a discrete prey–predator system
In this paper, we explore local dynamics at equilibrium points, the existence of bifurcation sets and codimension-one bifurcation analysis of a discrete prey–predator system with Holling type-II functional response. Further, OGY and Hybrid control strategies are utilized to control chaos in the unde...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2317505 |
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| author | Abdul Qadeer Khan Syeda Noor-ul-Huda Naqvi |
| author_facet | Abdul Qadeer Khan Syeda Noor-ul-Huda Naqvi |
| author_sort | Abdul Qadeer Khan |
| collection | DOAJ |
| description | In this paper, we explore local dynamics at equilibrium points, the existence of bifurcation sets and codimension-one bifurcation analysis of a discrete prey–predator system with Holling type-II functional response. Further, OGY and Hybrid control strategies are utilized to control chaos in the under study discrete model due to the occurrence of Neimark–Sacker and flip bifurcations. Finally, numerical simulations are given to verify theoretical results. |
| format | Article |
| id | doaj-art-da2d0afe243740f79c2b61a6cccfdc68 |
| institution | Kabale University |
| issn | 1658-3655 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-da2d0afe243740f79c2b61a6cccfdc682024-12-17T11:38:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2317505Codimension-one bifurcation analysis and chaos of a discrete prey–predator systemAbdul Qadeer Khan0Syeda Noor-ul-Huda Naqvi1Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, PakistanDepartment of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, PakistanIn this paper, we explore local dynamics at equilibrium points, the existence of bifurcation sets and codimension-one bifurcation analysis of a discrete prey–predator system with Holling type-II functional response. Further, OGY and Hybrid control strategies are utilized to control chaos in the under study discrete model due to the occurrence of Neimark–Sacker and flip bifurcations. Finally, numerical simulations are given to verify theoretical results.https://www.tandfonline.com/doi/10.1080/16583655.2024.2317505Predator–prey modelcodimension-one bifurcationschaosnon-standard schemenumerical simulation70K50 |
| spellingShingle | Abdul Qadeer Khan Syeda Noor-ul-Huda Naqvi Codimension-one bifurcation analysis and chaos of a discrete prey–predator system Journal of Taibah University for Science Predator–prey model codimension-one bifurcations chaos non-standard scheme numerical simulation 70K50 |
| title | Codimension-one bifurcation analysis and chaos of a discrete prey–predator system |
| title_full | Codimension-one bifurcation analysis and chaos of a discrete prey–predator system |
| title_fullStr | Codimension-one bifurcation analysis and chaos of a discrete prey–predator system |
| title_full_unstemmed | Codimension-one bifurcation analysis and chaos of a discrete prey–predator system |
| title_short | Codimension-one bifurcation analysis and chaos of a discrete prey–predator system |
| title_sort | codimension one bifurcation analysis and chaos of a discrete prey predator system |
| topic | Predator–prey model codimension-one bifurcations chaos non-standard scheme numerical simulation 70K50 |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2317505 |
| work_keys_str_mv | AT abdulqadeerkhan codimensiononebifurcationanalysisandchaosofadiscretepreypredatorsystem AT syedanoorulhudanaqvi codimensiononebifurcationanalysisandchaosofadiscretepreypredatorsystem |