A dynamic interplay between Allee effect and time delay in a mathematical model with weakening memory

作者：

Highlights：

• Incorporating time delay has a considerable impact on the dynamics of prey– predator interactions with fading memory and Allee effect.

• Different values of time delays in competition and cooperation can lead to or eliminate chaos.

• Predator density depends not only on the current density of prey but also on the recent past density of prey.

• The stability of the system switches from stable (unstable) to unstable (stable) through Hopf bifurcation in the presence of time delays.

摘要

•Incorporating time delay has a considerable impact on the dynamics of prey– predator interactions with fading memory and Allee effect.•Different values of time delays in competition and cooperation can lead to or eliminate chaos.•Predator density depends not only on the current density of prey but also on the recent past density of prey.•The stability of the system switches from stable (unstable) to unstable (stable) through Hopf bifurcation in the presence of time delays.

论文关键词：Prey-predator dynamics,Chaos,Dynamical systems,Delay differential equations,Allee effect,Memory

论文评审过程：Received 28 December 2021, Revised 20 April 2022, Accepted 5 June 2022, Available online 11 June 2022, Version of Record 11 June 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127306