干旱区生态环境知识资源中心(Arid): Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay

Arid

DOI	10.1016/j.chaos.2024.114622
	Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay
	Guo, Gaihui; Qin, Qijing; Cao, Hui; Jia, Yunfeng; Pang, Danfeng
通讯作者	Guo, GH
来源期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
EISSN	1873-2887
出版年	2024
卷号	181
英文摘要	Vegetation patterns can reflect vegetation's spatial distribution in space and time. The saturated water absorption effect between the soil-water and vegetation plays a crucial role in the vegetation patterns in semiarid regions. Moreover, vegetation can absorb water through the nonlocal interaction of roots. In this paper, we consider how cross -diffusion and nonlocal delay interactions affect vegetation growth. The conditions under which the vegetation -water model generates the Turing pattern are obtained by mathematical analysis. At the same time, the multiple scales method is applied to obtain the amplitude equations at the critical value of Turing bifurcation, which helps us to derive parameter space more specifically where specific patterns such as strips, hexagons, and the mixture of strip and hexagons will emerge. Various spatial distributions of vegetation in semi -arid areas are qualitatively depicted by numerical simulations. The results show that the nonlocal delay effect enhances vegetation biomass. Therefore, we can take measures to increase the intensity of the nonlocal delay effect to increase vegetation density, which theoretically provides new guidance for vegetation protection and desertification control.
英文关键词	Vegetation-water model Nonlocal delay Cross-diffusion Amplitude equation Multiple-scale analysis
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:001208912800001
WOS关键词	PHYTOPLANKTON-ZOOPLANKTON MODEL ; PREDATOR-PREY MODEL ; SPATIOTEMPORAL DYNAMICS ; ORGANIZATION
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS研究方向	Mathematics ; Physics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/403178
推荐引用方式 GB/T 7714	Guo, Gaihui,Qin, Qijing,Cao, Hui,et al. Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay[J],2024,181.
APA	Guo, Gaihui,Qin, Qijing,Cao, Hui,Jia, Yunfeng,&Pang, Danfeng.(2024).Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay.CHAOS SOLITONS & FRACTALS,181.
MLA	Guo, Gaihui,et al."Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay".CHAOS SOLITONS & FRACTALS 181(2024).