1- Shahrekord University , alidousti@sku.ac.ir
2- Fasa University
Abstract: (720 Views)
This paper studies the dynamical behavior of a discrete-time predator-prey analytically and numerically. The conditions and the critical coefficients for the transcritical, flip (period-doubling), and Neimark-Sacker are computed by using the center manifold and normal form technique. Besides, codimension-two bifurcations including strong resonances 1:2, 1:3, and 1:4 have been achieved. The numerical simulation and continuation method, not only confirm our analytical results but also reveals richer dynamics of the model, especially in the higher iteration.
Type of Study:
Original Manuscript |
Subject:
Mat Received: 2020/09/20 | Revised: 2024/02/19 | Accepted: 2022/04/28 | Published: 2024/01/8 | ePublished: 2024/01/8