Bifurcation analysis of a spatial vegetation model

作者：

Highlights：

• The existence of steady-state bifurcation emanating from positive constant solutions is established in a spatial vegetation model.

• Local and global structure of non-constant steady-state solutions are obtained.

• The impact of soil-water diffusion intensity on the occurrence of vegetation pattern is investigated.

摘要

•The existence of steady-state bifurcation emanating from positive constant solutions is established in a spatial vegetation model.•Local and global structure of non-constant steady-state solutions are obtained.•The impact of soil-water diffusion intensity on the occurrence of vegetation pattern is investigated.

论文关键词：Cross-diffusion,Steady-state bifurcation,Non-constant solutions

论文评审过程：Received 8 June 2022, Revised 26 July 2022, Accepted 30 July 2022, Available online 7 August 2022, Version of Record 7 August 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127459