Pattern formation of a spatial vegetation system with root hydrotropism

作者：

Highlights：

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

• We give the global weak solution of the model, and find the conditions for the occurrence of vegetation pattern.

• The results show that there is a threshold of root hydrotropism intensity, within which an appropriate intensity can increase the vegetation density.

• When the root hydrotropism intensity exceeds the threshold, there will be no vegetation pattern and desertification in this area.

摘要

•We systematically presented a study on the influences of root hydrotropism and nonlocal delay on the vegetation patterns.•We give the global weak solution of the model, and find the conditions for the occurrence of vegetation pattern.•The results show that there is a threshold of root hydrotropism intensity, within which an appropriate intensity can increase the vegetation density.•When the root hydrotropism intensity exceeds the threshold, there will be no vegetation pattern and desertification in this area.

论文关键词：Nonlocal delay,Root hydrotropism,Pattern stability,Desertification

论文评审过程：Received 4 December 2021, Revised 26 December 2021, Accepted 29 December 2021, Available online 10 January 2022, Version of Record 10 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126913