Hopf bifurcation for a delayed predator–prey diffusion system with Dirichlet boundary condition

作者：

Highlights：

• The existence and stability of positive steady-state solution is obtained.

• The existence of Hopf bifurcation is obtained.

• The direction of Hopf bifurcation is forward when handling time for predator is sufficiently large.

• A challenging question is proposed.

摘要

•The existence and stability of positive steady-state solution is obtained.•The existence of Hopf bifurcation is obtained.•The direction of Hopf bifurcation is forward when handling time for predator is sufficiently large.•A challenging question is proposed.

论文关键词：Predator–prey system,Diffusion,Time delay,Steady-state solution,Hopf bifurcation

论文评审过程：Received 2 December 2016, Revised 24 March 2017, Accepted 1 May 2017, Available online 15 May 2017, Version of Record 15 May 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.05.012