Related Experiment Video
Updated: Jul 4, 2025

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
Published on: May 16, 2025
Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects
Mengyun Xing1, Mengxin He2, Zhong Li1
1School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, China.
Abstract:
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and the other is a weak focus with multiplicity of at least three by concrete example. In addition, we analyze the bifurcations of the system, including saddle-node bifurcation, Hopf bifurcation and Bogdanov-Takens bifurcation. The results show that the model has a cusp of codimension three and undergoes a Bogdanov-Takens bifurcation of codimension two. The system undergoes a degenerate Hopf bifurcation and has two limit cycles (the inner one is stable and the outer one is unstable). These enrich the dynamics of the modified Leslie-Gower predator-prey model with the double Allee effects.
More Related Videos
09:23Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System
Published on: November 1, 2017
20:36Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Related Concept Videos
Predator-Prey Interactions
Limits to Natural Selection
Conservation of Declining Populations
Conservation of Small Populations
Hardy-Weinberg Principle
Mechanistic Models: Compartment Models in Individual and Population Analysis