Volume 9, Issue 3 (12-2023)
mmr 2023, 9(3): 214-234 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Alidousti J, Eskandari Z. Codimension one and two bifurcation analysis in discrete predator-prey model. mmr 2023; 9 (3) :214-234
URL: http://mmr.khu.ac.ir/article-1-3130-en.html
URL: http://mmr.khu.ac.ir/article-1-3130-en.html
1- Shahrekord University , alidousti@sku.ac.ir
2- Fasa University
2- Fasa University
Abstract: (1078 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
Received: 2020/09/20 | Revised: 2024/02/19 | Accepted: 2022/04/28 | Published: 2024/01/8 | ePublished: 2024/01/8
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
