Predator-prey system with strong Allee effect in prey
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Updated: Jun 15, 2026

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
Published on: May 16, 2025
Jinfeng Wang1, Junping Shi, Junjie Wei
1Department of Mathematics, Harbin Institute of Technology, Heilongjiang, People's Republic of China. jfwang_math@sohu.com
Abstract:
Global bifurcation analysis of a class of general predator-prey models with a strong Allee effect in prey population is given in details. We show the existence of a point-to-point heteroclinic orbit loop, consider the Hopf bifurcation, and prove the existence/uniqueness and the nonexistence of limit cycle for appropriate range of parameters. For a unique parameter value, a threshold curve separates the overexploitation and coexistence (successful invasion of predator) regions of initial conditions. Our rigorous results justify some recent ecological observations, and practical ecological examples are used to demonstrate our theoretical work.
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