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Bifurcation and Stability Analysis for a Class of Discrete Singular Predator-Prey System
1
School of Information Engineering, Wuhan Business University, Wuhan 430000, China
2
School of Information Management and Mathematics, Jiangxi University of Finance and Economics, Nanchang 330032, China
* Corresponding Author:
Jing Han,
[email protected]
Volume 2, Issue 1
2026
Received: 15 November 2025
Accepted: 03 March 2026
Published: 07 March 2026
Article Information
Published in
Journal of Nonlinear Dynamics and Applications
Volume/Issue
Volume 2, Issue 1, 2026
Pages
39-46
Cited by
1 (Crossref)
1 (Scopus)
Abstract
A kind of discrete-time singular predator-prey system with time-varying harvesting term is investigated. By using theory of singular systems, bifurcation and center manifold theory, the stability and Neimark-Sacker bifurcation of such system is studied, and some conditions are used to judge local stability of its fixed points and ensure existence of the Neimark-Sacker bifurcation for the proposed discrete-time singular system are derived. Finally, numerical simulations are given to show the obtained results. The results of the paper complements some previous works, and we believe that the method of this paper can be used to study bifurcation for other discrete-time complex singular systems.
Graphical Abstract
Keywords
stability
neimark-Sacker bifurcation
predator-prey
discrete-time
singular system
Data Availability Statement
Data will be made available on request.
Funding
This work was supported by the National Science Foundation of China under Grant 62506273, and also supported by the Science and Technology Project of the Education Department of Jiangxi Province under Grant GJJ210512.
Conflicts of Interest
The authors declare no conflicts of interest.
AI Use Statement
The authors declare that no generative AI was used in the preparation of this manuscript.
Ethical Approval and Consent to Participate
Not applicable.
References
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Cited By (1)
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Faizah A. H. Alomari, G. M. Bahaa. Fractional-order analysis of a fear-induced ecoepidemiological predator–prey model with optimal control and bifurcation dynamics.
Scientific Reports, 2026 , 16 (1).
[CrossRef]
* Citation data provided by Crossref Cited-by.
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APA Style
Han, J., & Liu, W. (2026). Bifurcation and Stability Analysis for a Class of Discrete Singular Predator-Prey System. Journal of Nonlinear Dynamics and Applications, 2(1), 39–46. https://doi.org/10.62762/JNDA.2026.505976
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TY - JOUR AU - Han, Jing AU - Liu, Wei PY - 2026 DA - 2026/03/07 TI - Bifurcation and Stability Analysis for a Class of Discrete Singular Predator-Prey System JO - Journal of Nonlinear Dynamics and Applications T2 - Journal of Nonlinear Dynamics and Applications JF - Journal of Nonlinear Dynamics and Applications VL - 2 IS - 1 SP - 39 EP - 46 DO - 10.62762/JNDA.2026.505976 UR - https://www.icck.org/article/abs/JNDA.2026.505976 KW - stability KW - neimark-Sacker bifurcation KW - predator-prey KW - discrete-time KW - singular system AB - A kind of discrete-time singular predator-prey system with time-varying harvesting term is investigated. By using theory of singular systems, bifurcation and center manifold theory, the stability and Neimark-Sacker bifurcation of such system is studied, and some conditions are used to judge local stability of its fixed points and ensure existence of the Neimark-Sacker bifurcation for the proposed discrete-time singular system are derived. Finally, numerical simulations are given to show the obtained results. The results of the paper complements some previous works, and we believe that the method of this paper can be used to study bifurcation for other discrete-time complex singular systems. SN - 3069-6313 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Han2026Bifurcatio,
author = {Jing Han and Wei Liu},
title = {Bifurcation and Stability Analysis for a Class of Discrete Singular Predator-Prey System},
journal = {Journal of Nonlinear Dynamics and Applications},
year = {2026},
volume = {2},
number = {1},
pages = {39-46},
doi = {10.62762/JNDA.2026.505976},
url = {https://www.icck.org/article/abs/JNDA.2026.505976},
abstract = {A kind of discrete-time singular predator-prey system with time-varying harvesting term is investigated. By using theory of singular systems, bifurcation and center manifold theory, the stability and Neimark-Sacker bifurcation of such system is studied, and some conditions are used to judge local stability of its fixed points and ensure existence of the Neimark-Sacker bifurcation for the proposed discrete-time singular system are derived. Finally, numerical simulations are given to show the obtained results. The results of the paper complements some previous works, and we believe that the method of this paper can be used to study bifurcation for other discrete-time complex singular systems.},
keywords = {stability, neimark-Sacker bifurcation, predator-prey, discrete-time, singular system},
issn = {3069-6313},
publisher = {Institute of Central Computation and Knowledge}
}
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