Memory-based movement with spatiotemporal distributed delays in diffusion and reaction

作者：

Highlights：

• Propose a general single species animal movement model with distributed delays in diffusion and reaction.

• Investigate the impact of spatiotemporal delays on stability of memory-based model.

• Obtain conditions for the occurrence of Hopf and steady state bifurcations.

• Explore dynamics due to the interaction of Hopf and steady state bifurcations.

摘要

•Propose a general single species animal movement model with distributed delays in diffusion and reaction.•Investigate the impact of spatiotemporal delays on stability of memory-based model.•Obtain conditions for the occurrence of Hopf and steady state bifurcations.•Explore dynamics due to the interaction of Hopf and steady state bifurcations.

论文关键词：Spatial memory,Spatiotemporal delay,Hopf bifurcation,Steady state bifurcation

论文评审过程：Received 25 December 2020, Revised 2 March 2021, Accepted 28 March 2021, Available online 13 April 2021, Version of Record 13 April 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126254