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Open access 2026

Steady-state bifurcation and pattern formation in a predator-prey model with prey-taxis

In this paper, the bifurcation structure and stability of the nonconstant positive steady states in a ratio-dependent predator-prey model with prey-taxis are described. First, the stability results for the positive constant equilibrium will extend to the derivative of prey's functional response with prey is positive. I...

Xiao-Yan Gao, Zhi-Qian He, Liang-Ying Miao · 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
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
#diffusion models Open access Nov 2026

Spatiotemporal Dynamics in Predator–Prey Models Incorporating Time Delay and Harvesting

A three-compartment predator-prey model is developed by integrating spatial diffusion, discrete time delays, and proportional harvesting, with time delays as the main destabilizer and controlled harvesting as a stabilizing agent that delays the onset of Hopf bifurcation.

Dede Alif Permana, Diny Zulkarnaen, Dian Nuraiman · 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
#diffusion models Open access Oct 2026

Turing-Hopf bifurcation of a delayed predator-prey system with prey-taxis incorporating a Beddington-DeAngelis functional response

In this paper, we investigate the spatiotemporal pattern dynamics in a delayed predator-prey model with prey-taxi. First, Turing bifurcation for the reaction-diffusion-prey-taxis model are analyzed and the conditions for it is obtained. By deriving an amplitude equation, we then classify the bifurcation as supercritica...

Yan Meng, Bing-Ran Guo, Jia-Xin Xiao · 0 citations

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