干旱区生态环境知识资源中心(Arid): Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model

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DOI	10.3934/mbe.2024200
	Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model
	Li, Jichun; Guo, Gaihui; Yuan, Hailong
通讯作者	Li, JC
来源期刊	MATHEMATICAL BIOSCIENCES AND ENGINEERING
ISSN	1547-1063
EISSN	1551-0018
出版年	2024
卷号	21 期号:3 页码:4521-4553
英文摘要	The vegetation pattern generated by aeolian sand movements is a typical type of vegetation patterns in arid and semi-arid areas. This paper presents a vegetation-sand model with nonlocal interaction characterized by an integral term with a kernel function. The instability of the Turing pattern was analyzed and the conditions of stable pattern occurrence were obtained. At the same time, the multiple scales method was applied to obtain the amplitude equations at the critical value of Turing bifurcation. The spatial distributions of vegetation under different delays were obtained by numerical simulation. The results revealed that the vegetation biomass increased as the interaction intensity decreased or as the nonlocal interaction distance increased. We demonstrated that the nonlocal interaction between vegetation and sand is a crucial mechanism for forming vegetation patterns, which provides a theoretical basis for preserving and restoring vegetation.
英文关键词	vegetation -sand model nonlocal delay multiple scale analysis amplitude equation
类型	Article
语种	英语
开放获取类型	gold
收录类别	SCI-E
WOS记录号	WOS:001173180900001
WOS关键词	REACTION-DIFFUSION MODEL ; TRAVELING-WAVES ; DYNAMICS ; WIND ; BIFURCATION ; ECOSYSTEMS ; STABILITY ; SYSTEMS ; EROSION
WOS类目	Mathematical & Computational Biology
WOS研究方向	Mathematical & Computational Biology
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/404894
推荐引用方式 GB/T 7714	Li, Jichun,Guo, Gaihui,Yuan, Hailong. Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model[J],2024,21(3):4521-4553.
APA	Li, Jichun,Guo, Gaihui,&Yuan, Hailong.(2024).Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model.MATHEMATICAL BIOSCIENCES AND ENGINEERING,21(3),4521-4553.
MLA	Li, Jichun,et al."Nonlocal delay gives rise to vegetation patterns in a vegetation-sand model".MATHEMATICAL BIOSCIENCES AND ENGINEERING 21.3(2024):4521-4553.