Dynamics and spatiotemporal chaos suppression in predator–prey models with epidemic and combined nonlinear effects

Exploring chaotic dynamics of a discrete-time prey-predator model with ratio-dependent functional response subject to weak Allee and slow-fast effect

The authors' bifurcation-theoretic analysis of the coexistence equilibrium reveals key local transitions, including period-doubling and Neimark–Sacker bifurcations, which highlight the significant influence of the Allee effect on the predator–prey dynamics.

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.

Coexistence, Oscillations, and Chaos in a Discrete Predator-Prey System with Fear-Modulated Prey Growth

Predator–prey interactions are governed not only by direct consumption but also by behavioral responses of prey to the perceived risk of predation. In this work, we formulate a discrete-time predator–prey model in which predator-induced fear modifies prey reproduction through an exponential suppression mechanism, while...

A stage structured predator–prey system with time delays and fear effect

Results indicate that stage structure coupled with dual maturation delays can significantly enrich the bifurcation structure and long-term dynamical behavior of the system.

Multiple dynamical transitions and noise-induced switching in a harvested predator–prey system

Modulating spatiotemporal patterns: proportional-derivative control in a networked predator–prey system

Spatiotemporal patterns in ecological networks are critical for understanding population dynamics and ecosystem stability. This study investigates the role of a proportional-derivative (PD) controller in modulating Hopf bifurcation-induced spatiotemporal patterns in a networked predator–prey model with Allee effect, gr...