Related Experiment Video
Updated: Jul 19, 2026

Manipulation of Color Patterns in Jumping Spiders for Use in Behavioral Experiments
Published on: May 21, 2019
Colored-noise-induced Hopf bifurcations in predator-prey communities
Romi Mankin1, Tõnu Laas, Ako Sauga
1Department of Natural Sciences, Tallinn University, 25 Narva Road, 10120 Tallinn, Estonia.
Abstract:
A broad class of (N+1) -species ratio-dependent predator-prey stochastic models, which consist of one predator population and N prey populations, is considered. The effect of a fluctuating environment on the carrying capacities of prey populations is taken into account as colored noise. In the framework of the mean-field theory, approximate self-consistency equations for prey-populations mean density and for predator-population density are derived (to the first order in the noise variance). In some cases, the mean field exhibits Hopf bifurcations as a function of noise correlation time. The corresponding transitions are found to be reentrant, e.g., the periodic orbit appears above a critical value of the noise correlation time, but disappears again at a higher value of the noise correlation time. The nonmonotonous dependence of the critical control parameter on the noise correlation time is found, and the conditions for the occurrence of Hopf bifurcations are presented. Our results provide a possible scenario for environmental-fluctuations-induced transitions between the oscillatory regime and equilibrium state of population sizes observed in nature.
Related Concept Videos
Predator-Prey Interactions
Frequency-dependent Selection
Optimal Foraging
Microbial Interactions: Predation
Mutation, Gene Flow, and Genetic Drift
Conservation of Declining Populations

