干旱区生态环境知识资源中心(Arid): Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments

Arid

DOI	10.1007/s11071-024-09460-8
	Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments
	Guo, Gaihui; Wang, Jingjing; Zhao, Shihan; Zhang, Conghui
通讯作者	Guo, GH
来源期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
EISSN	1573-269X
出版年	2024
卷号	112 期号:13 页码:11615-11636
英文摘要	In semi-arid regions, the positive feedback effect of vegetation and soil moisture plays an indispensable role in the process of water absorption by vegetation roots, and vegetation can also absorb water through the nonlocal interaction of roots. So in this paper, we consider how the interactions of cross-diffusion and nonlocal delay affect the growth of vegetation. By mathematical analysis, the conditions under which Turing patterns occur are obtained for this vegetation-water model. At the same time, we obtain the amplitude equation near the Turing bifurcation boundary by using the multi-scale analysis method. Conditions for the emergence of Turing patterns such as stripes, spots, and mixtures of stripes and spots are identified through the stability analysis of amplitude equation. Some numerical simulations are given to illustrate the analytical results, especially the evolution processes of vegetation patterns depicted under different parameters.
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:001223896900002
WOS关键词	MODEL ; DYNAMICS ; INSTABILITY ; STABILITY
WOS类目	Engineering, Mechanical ; Mechanics
WOS研究方向	Engineering ; Mechanics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/404985
推荐引用方式 GB/T 7714	Guo, Gaihui,Wang, Jingjing,Zhao, Shihan,et al. Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments[J],2024,112(13):11615-11636.
APA	Guo, Gaihui,Wang, Jingjing,Zhao, Shihan,&Zhang, Conghui.(2024).Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments.NONLINEAR DYNAMICS,112(13),11615-11636.
MLA	Guo, Gaihui,et al."Interactions of cross-diffusion and nonlocal delay induce spatial vegetation patterning in semi-arid environments".NONLINEAR DYNAMICS 112.13(2024):11615-11636.