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Sep 2026

Bifurcation Analysis in a Three-Dimensional Discrete Prey–Predator Model with Holling Type II Functional Response

In this study, we analyze a three-dimensional discrete prey–predator model with Holling type II functional response. The existence and local stability of its fixed points are obtained in terms of system parameters. By employing the center manifold theorem, bifurcation theory, and critical normal form coefficients metho...

Yu-Jie Cai, Qiao-Ling Chen, R. Rifhat · 0 citations
Oct 2026

Generalized Flip Bifurcation, Strong Resonances, Arnold Tongue, and Marotto's Chaos in a Discrete Predator‐Prey Model

This paper mainly studied the dynamic properties of a discrete predator‐prey system with a weak Allee effect on the predator. We first provided the topological structure of orbits in the vicinity of each fixed point. Then, through center manifold reduction, polynomial complete discrimination system, and bifurcation...

Kai-Yue Zheng, Na Liu, Zhi-Heng Yu · 0 citations
Sep 2026

Multiple Bifurcations in a Discrete Holling–Tanner Predator–Prey Model With Allee Effect and Beddington–DeAngelis Functional Response

This work examines a discretized Holling–Tanner predator–prey model with Beddington–DeAngelis functional response with Allee effect, incorporating the Allee effect on prey populations, providing important insights into how the Allee effect influences ecological systems.

Pradeep Malik, Savita Boora, Md. Jasim Uddin et al. · 0 citations
Oct 2026

Dynamical effects of herd behavior and constant harvesting in a Leslie-type predator-prey model: A bifurcation analysis

In this paper, we investigate a Leslie-type predator-prey model with prey group defense and constant predator harvesting. First, we establish conditions for the existence and stability of all feasible equilibria of the model. We then derive a critical harvesting threshold for the existence of interior coexistence equil...

Ning Bai, Rui Xu, Jian-Feng Luo et al. · 0 citations
Open access Sep 2026

Stability and Local Bifurcations of a Discrete Predator–Prey System with Allee Effect and Holling-IV Functional Response

This paper investigates the local dynamics of a discrete predator–prey system incorporating an Allee effect and a Holling-IV functional response. After nondimensionalization, a positivity-preserving discrete model is obtained by the semi-discretization method. The non-negative fixed points are classified and their loca...

Jing-Wen Chen, Xianyi Li · 0 citations
Open access Sep 2026

Dynamical analysis, bifurcations and slow-fast behavior of a predator-prey model with hunting cooperation

The main focus of this paper is to investigate the dynamical behaviors of a predator-prey model incorporating cooperative hunting among predators, which is widely observed in real ecological communities and provides valuable insights for revealing population persistence and community stability in natural ecosystems.

Xu-Yun Zhu, Ming Liu, Ranjit Kumar Upadhyay et al. · 0 citations

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