Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model
The objective of this study is to investigate the complexity of a discrete predator-prey system. The discretization is achieved using the piecewise constant argument method. The existence and stability of equilibrium points, as well as transcritical and Neimark–Sacker bifurcations, are all explored....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/8873611 |
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| _version_ | 1832547400655306752 |
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| author | Rizwan Ahmed Muhammad Rafaqat Imran Siddique Mohammad Asif Arefin |
| author_facet | Rizwan Ahmed Muhammad Rafaqat Imran Siddique Mohammad Asif Arefin |
| author_sort | Rizwan Ahmed |
| collection | DOAJ |
| description | The objective of this study is to investigate the complexity of a discrete predator-prey system. The discretization is achieved using the piecewise constant argument method. The existence and stability of equilibrium points, as well as transcritical and Neimark–Sacker bifurcations, are all explored. Feedback and hybrid control methods are used to control the discrete system’s bifurcating and fluctuating behavior. To validate the theoretical conclusions, numerical simulations are performed. The findings of the study suggested that the discretization technique employed in this investigation preserves bifurcation and displays more effective dynamic consistency in comparison to the Euler method. |
| format | Article |
| id | doaj-art-f442cc3d344a4242bffd2b49e6158860 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f442cc3d344a4242bffd2b49e61588602025-02-03T06:45:04ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/8873611Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey ModelRizwan Ahmed0Muhammad Rafaqat1Imran Siddique2Mohammad Asif Arefin3Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsThe objective of this study is to investigate the complexity of a discrete predator-prey system. The discretization is achieved using the piecewise constant argument method. The existence and stability of equilibrium points, as well as transcritical and Neimark–Sacker bifurcations, are all explored. Feedback and hybrid control methods are used to control the discrete system’s bifurcating and fluctuating behavior. To validate the theoretical conclusions, numerical simulations are performed. The findings of the study suggested that the discretization technique employed in this investigation preserves bifurcation and displays more effective dynamic consistency in comparison to the Euler method.http://dx.doi.org/10.1155/2023/8873611 |
| spellingShingle | Rizwan Ahmed Muhammad Rafaqat Imran Siddique Mohammad Asif Arefin Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model Discrete Dynamics in Nature and Society |
| title | Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model |
| title_full | Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model |
| title_fullStr | Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model |
| title_full_unstemmed | Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model |
| title_short | Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model |
| title_sort | complex dynamics and chaos control of a discrete time predator prey model |
| url | http://dx.doi.org/10.1155/2023/8873611 |
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