Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control
A discrete logistic system with addition Allee effect and feedback control is analyzed in this paper. The results of the analysis show that the model has a trivial fixed point and interior fixed point. The results of our stability analysis show that there are topological differences that depend on t...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mathematics Department UIN Maulana Malik Ibrahim Malang
2024-11-01
|
| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Subjects: | |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26674 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850195406841970688 |
|---|---|
| author | Nadia Agus Hadinata Agus Suryanto Wuryansari Muharini Kusumawinahyu |
| author_facet | Nadia Agus Hadinata Agus Suryanto Wuryansari Muharini Kusumawinahyu |
| author_sort | Nadia Agus Hadinata |
| collection | DOAJ |
| description | A discrete logistic system with addition Allee effect and feedback control is analyzed in this paper. The results of the analysis show that the model has a trivial fixed point and interior fixed point. The results of our stability analysis show that there are topological differences that depend on the step size. Bifurcation analysis is performed by using the center manifold theory and the bifurcation theorem. By taking the step size as a bifurcation parameter, we show that the model may go through a period-doubling and Neimark-Sacker bifurcations. Some numerical simulations are performed to confirm the result of the analysis. |
| format | Article |
| id | doaj-art-4e16aa7ade37434a8d760dfc92cf98c1 |
| institution | OA Journals |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-4e16aa7ade37434a8d760dfc92cf98c12025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442024-11-019219921110.18860/ca.v9i2.266748246Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback ControlNadia Agus Hadinata0Agus Suryanto1Wuryansari Muharini Kusumawinahyu2University of BrawijayaUniversity of BrawijayaUniversity of BrawijayaA discrete logistic system with addition Allee effect and feedback control is analyzed in this paper. The results of the analysis show that the model has a trivial fixed point and interior fixed point. The results of our stability analysis show that there are topological differences that depend on the step size. Bifurcation analysis is performed by using the center manifold theory and the bifurcation theorem. By taking the step size as a bifurcation parameter, we show that the model may go through a period-doubling and Neimark-Sacker bifurcations. Some numerical simulations are performed to confirm the result of the analysis.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26674allee effectfeedback controlflip bifurcationlogisticneimark-sacker |
| spellingShingle | Nadia Agus Hadinata Agus Suryanto Wuryansari Muharini Kusumawinahyu Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control Cauchy: Jurnal Matematika Murni dan Aplikasi allee effect feedback control flip bifurcation logistic neimark-sacker |
| title | Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control |
| title_full | Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control |
| title_fullStr | Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control |
| title_full_unstemmed | Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control |
| title_short | Bifurcation Analysis of a Discrete Logistic System with Additive Allee Effect and Feedback Control |
| title_sort | bifurcation analysis of a discrete logistic system with additive allee effect and feedback control |
| topic | allee effect feedback control flip bifurcation logistic neimark-sacker |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26674 |
| work_keys_str_mv | AT nadiaagushadinata bifurcationanalysisofadiscretelogisticsystemwithadditivealleeeffectandfeedbackcontrol AT agussuryanto bifurcationanalysisofadiscretelogisticsystemwithadditivealleeeffectandfeedbackcontrol AT wuryansarimuharinikusumawinahyu bifurcationanalysisofadiscretelogisticsystemwithadditivealleeeffectandfeedbackcontrol |