A note of a predator-prey model with additive allee effect and feedback controls

Abstract

This study focuses on the investigation of a predator-prey model with additive allee effect and feedback controls. First, we get sufficient conditions of system persistence. Second, the conditions for the existence of the systems global attractivity areestablished by constructing suitable Lyapunov functions. Additionally, by applying the fixed point theory and some new analysis and calculation methods, we obtain the existence and uniqueness of the positive periodic solution of the system. Eventually, we validate the theoretical results by numerical simulations.