Spatiotemporal patterns induced by Turing and Turing-Hopf bifurcations in a predator-prey system

作者：

Highlights：

• Turing and Hopf bifurcations are studied for the predator-prey model.

• Weakly nonlinear analysis is employed to identify pattern selection.

• Various patterns in two-dimensional space are presented and explained.

摘要

•Turing and Hopf bifurcations are studied for the predator-prey model.•Weakly nonlinear analysis is employed to identify pattern selection.•Various patterns in two-dimensional space are presented and explained.

论文关键词：Spatiotemporal pattern,Predator-prey system,Turing-Hopf bifurcation,Amplitude equation

论文评审过程：Received 6 January 2020, Revised 31 March 2020, Accepted 6 April 2020, Available online 18 April 2020, Version of Record 18 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125300