دورية أكاديمية
Complexity of a Discrete-Time Predator-Prey Model Involving Prey Refuge Proportional to Predator
| العنوان: | Complexity of a Discrete-Time Predator-Prey Model Involving Prey Refuge Proportional to Predator |
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| المؤلفون: | P. K. Santra, Hasan S. Panigoro, G. S. Mahapatra |
| المصدر: | Jambura Journal of Mathematics, Vol 4, Iss 1, Pp 50-63 (2022) |
| بيانات النشر: | Department of Mathematics, Universitas Negeri Gorontalo, 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | chaos, neimark-sacker bifurcation, predator-prey, refuge, stability, Mathematics, QA1-939 |
| الوصف: | In this paper, a discrete-time predator-prey model involving prey refuge proportional to predator density is studied. It is assumed that the rate at which prey moves to the refuge is proportional to the predator density. The fixed points, their local stability, and the existence of Neimark-Sacker bifurcation are investigated. At last, the numerical simulations consisting of bifurcation diagrams, phase portraits, and time-series are given to support analytical findings. The occurrence of chaotic solutions are also presented by showing the Lyapunov exponent while some parameters are varied. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Indonesian |
| تدمد: | 2654-5616 2656-1344 |
| Relation: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/11918; https://doaj.org/toc/2654-5616; https://doaj.org/toc/2656-1344 |
| DOI: | 10.34312/jjom.v4i1.11918 |
| URL الوصول: | https://doaj.org/article/6fef0619a6ac44aa9716089873b9b0c3 |
| رقم الأكسشن: | edsdoj.6fef0619a6ac44aa9716089873b9b0c3 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 26545616 26561344 |
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| DOI: | 10.34312/jjom.v4i1.11918 |