Related Experiment Video
Updated: Jul 26, 2025

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
Published on: May 16, 2025
Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Zhenliang Zhu1, Yuming Chen2, Zhong Li3
1College of Mathematics and Data Science, Minjiang University, Fuzhou, 350108, Fujian, P.R. China.
Abstract:
We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities. Qualitative analysis reveals that both effects are crucial in determining the dynamical behaviors of the model. There can be different types of bifurcations such as saddle-node bifurcation, non-degenerate Hopf bifurcation with a simple limit cycle, degenerate Hopf bifurcation with multiple limit cycles, Bogdanov-Takens bifurcation, and homoclinic bifurcation.
Related Concept Videos
Predator-Prey Interactions
Frequency-dependent Selection
Avoidance Learning and Learned Helplessness
Avoidance learning occurs when an organism learns that a specific behavior can prevent an unpleasant outcome. For example, a student who receives a bad grade may start studying harder to avoid future poor grades. This behavior persists even when the negative outcome is no longer present. Avoidance learning is powerful because it maintains behavior in the absence of the...
Limits to Natural Selection
Types of Selection
What is Behavior?

