Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect
作者：
Highlights：
• To have spatial patterns form, small Allee effect admits relatively large range of predator mortality rate.
• Found cross-diffusion is the key mechanism of spatial pattern formation.
• Obtained amplitude equations suggest both supercritical and subcritical bifurcation may occur.
• Weak Allee effect admits supercritical bifurcation, while strong one allows subcritical bifurcation.
摘要
•To have spatial patterns form, small Allee effect admits relatively large range of predator mortality rate.•Found cross-diffusion is the key mechanism of spatial pattern formation.•Obtained amplitude equations suggest both supercritical and subcritical bifurcation may occur.•Weak Allee effect admits supercritical bifurcation, while strong one allows subcritical bifurcation.
论文关键词：Cross-diffusion,Pattern formation,Turing instability,Amplitude equation
论文评审过程：Received 3 November 2013, Revised 12 November 2015, Accepted 22 November 2015, Available online 11 December 2015, Version of Record 11 December 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.11.067
