Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Speaker:
Yuming Chen, Wilfrid Laurier University
Date and Time:
Thursday, August 18, 2022 - 2:00pm to 2:40pm
Location:
Fields Institute, Room 230
Abstract:
In this talk, we study the dynamics of a Leslie-Gower model with Allee effect and fear effect in prey. 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 dynamics 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.