Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior
作者：
Highlights：
• We introduced three-dimensional fractional diffusion into the reaction-diffusion system.
• It is maybe the first time to discuss three-dimensional pattern dynamics with fractional cross-diffusion.
• The increase of the cross-fractional diffusion coefficient causes the bistable state of the three-dimensional pattern.
• The fractional-order α affects the stability of the 3D pattern.
• Proper protection of prey refuge is beneficial to the stability of the ecosystem.
摘要
•We introduced three-dimensional fractional diffusion into the reaction-diffusion system.•It is maybe the first time to discuss three-dimensional pattern dynamics with fractional cross-diffusion.•The increase of the cross-fractional diffusion coefficient causes the bistable state of the three-dimensional pattern.•The fractional-order α affects the stability of the 3D pattern.•Proper protection of prey refuge is beneficial to the stability of the ecosystem.
论文关键词：Predator-prey system,Herd behavior,Refuge,Fractional diffusion,Turing instability,3D
论文评审过程：Received 15 July 2021, Revised 10 December 2021, Accepted 15 January 2022, Available online 28 January 2022, Version of Record 28 January 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126955
