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Analysis of Generalized Flip, Chenciner, and Resonance Bifurcations in a Discrete Predator-Prey System | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 تیر 1405 اصل مقاله (1.2 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70755.3533 | ||
| نویسندگان | ||
| Javad Hadadi1؛ Zohreh Eskandari* 2؛ Reza Khoshsiar Ghaziani1 | ||
| 1Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran. | ||
| 2Department of Mathematics, Faculty of Science, Fasa University, Fasa, Iran. | ||
| چکیده | ||
| In this study, we investigate codimension-two bifurcations in a discrete predator--prey model. First, we provide a theoretical analysis of several bifurcation types, including $1{:}2$, $1{:}3$, and $1{:}4$ resonances, generalized flip bifurcations, and generalized Neimark--Sacker bifurcations. Using the center manifold theory and normal form reduction, the conditions for the occurrence of these bifurcations are derived. Subsequently, numerical simulations are performed with the MatcontM package in MATLAB to validate the analytical results. The findings offer a comprehensive view of the complex dynamics arising from codimension-two bifurcations in biological interaction systems. | ||
| کلیدواژهها | ||
| Predator-prey model؛ Bifurcation, MatcontM | ||
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آمار تعداد مشاهده مقاله: 18 تعداد دریافت فایل اصل مقاله: 7 |
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