干旱区生态环境知识资源中心(Arid): Pattern formation of a spatial vegetation system with root hydrotropism

Arid

DOI	10.1016/j.amc.2021.126913
	Pattern formation of a spatial vegetation system with root hydrotropism
	Liu, Chen; Wang, Fang-Guang; Xue, Qiang; Li, Li; Wang, Zhen
通讯作者	Li, L
来源期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
EISSN	1873-5649
出版年	2022
卷号	420
英文摘要	In many arid or semi-arid regions of the world, a variety of vegetation patterns have been found and many dynamic mechanisms have been proposed including scale-dependent, climatic effects, grazing and so on. However, the influences of the interactions between nonlocal effects and root hydrotropism on vegetation patterns are not well understood. As a result, we develop a reaction-diffusion equation with nonlocal time delay and root hydrotropism to explain the interaction between vegetation and water in this paper. We prove the existence of global weak solution of the water-vegetation model and analyze the Turing instability to identify the criteria for the emergence of vegetation patterns. The obtained results suggest that root hydrotropism has dual effects on vegetation pattern: on one hand, an appropriate root hydrotropism intensity can increase the vegetation density; on the other hand, when the root hydrotropism intensity exceeds the threshold, the isolation between vegetation patterns will gradually increase as the root hydrotropism intensity continues to increase, and thus there will be no vegetation pattern and desertification appears in this area. The research results provide a new theoretical basis for preventing from desertification. (C) 2022 Elsevier Inc. All rights reserved.
英文关键词	Nonlocal delay Root hydrotropism Pattern stability Desertification
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000798062800018
WOS关键词	DYNAMICS ; MODEL ; EVOLUTION ; RAINFALL ; FEEDBACK ; STEPPE
WOS类目	Mathematics, Applied
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/391856
推荐引用方式 GB/T 7714	Liu, Chen,Wang, Fang-Guang,Xue, Qiang,et al. Pattern formation of a spatial vegetation system with root hydrotropism[J],2022,420.
APA	Liu, Chen,Wang, Fang-Guang,Xue, Qiang,Li, Li,&Wang, Zhen.(2022).Pattern formation of a spatial vegetation system with root hydrotropism.APPLIED MATHEMATICS AND COMPUTATION,420.
MLA	Liu, Chen,et al."Pattern formation of a spatial vegetation system with root hydrotropism".APPLIED MATHEMATICS AND COMPUTATION 420(2022).