Stability and Bifurcation Analysis on a Predator–Prey System with the Weak Allee Effect

In this paper, the dynamics of a predator-prey system with the weak Allee effect is considered. The sufficient conditions for the existence of Hopf bifurcation and stability switches induced by delay are investigated. By using the theory of normal form and center manifold, an explicit expression, wh...

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Bibliographic Details
Main Authors: Jianming Zhang, Lijun Zhang, Yuzhen Bai
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/5/432