Interactions of diffusion and nonlocal delay give rise to vegetation patterns in semi-arid environments

作者:

Highlights:

• We systematically presented a study on the influences of spatial diffusion and nonlocal delay on the vegetation patterns.

• It was found that the non-local water absorption intensity of vegetation roots can induce the phase change of vegetation pattern.

• The isolation between vegetation patches will be increased as that nonlocal water absorption intensity is enhanced.

• We revealed that increasing the feedback intensity of soil water diffusion or nonlocal strength within a certain range is helpful to increase the vegetation density.

摘要

•We systematically presented a study on the influences of spatial diffusion and nonlocal delay on the vegetation patterns.•It was found that the non-local water absorption intensity of vegetation roots can induce the phase change of vegetation pattern.•The isolation between vegetation patches will be increased as that nonlocal water absorption intensity is enhanced.•We revealed that increasing the feedback intensity of soil water diffusion or nonlocal strength within a certain range is helpful to increase the vegetation density.

论文关键词:Soil-water diffusion feedback,Nonlocal delay,Multi-scale analysis,Pattern transition,Desertification

论文评审过程:Received 26 November 2020, Revised 21 January 2021, Accepted 24 January 2021, Available online 7 February 2021, Version of Record 7 February 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126038