Global stability and Hopf bifurcations of a Beddington–DeAngelis type predator–prey system with diffusion and delays

作者：

Highlights：

• Dynamics of a diffusive Beddington–DeAngelis system with two delays are studied.

• The direction and stability of Hopf bifurcating periodic orbits are determined.

• The global stability of the positive existence is investigated.

• Numerical simulations are illustrated for the theoretical results.

摘要

•Dynamics of a diffusive Beddington–DeAngelis system with two delays are studied.•The direction and stability of Hopf bifurcating periodic orbits are determined.•The global stability of the positive existence is investigated.•Numerical simulations are illustrated for the theoretical results.

论文关键词：Diffusion,Delays,Beddington–DeAngelis type,Hopf bifurcation,Global stability

论文评审过程：Available online 8 September 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.08.029