A double time-delay Holling Ⅱ predation model with weak Allee effect and age-structure

Abstract

A double-time-delay Holling Ⅱ predator model with weak Allee effect and age structure was studied in this paper. First, the model was converted into an abstract Cauchy problem. We also discussed the well-posedness of the model and the existence of the equilibrium solution. We analyzed the global stability of boundary equilibrium points, the local stability of positive equilibrium points, and the conditions of the Hopf bifurcation for the system. The conclusion was verified by numerical simulation.

Keywords

• predation model
• allee effect
• age-structure
• time-delay effect
• stability
• hopf bifurcation