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DOI	10.1007/s00033-023-02167-7
	Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect
	Guo, Gaihui; Zhao, Shihan; Pang, Danfeng; Su, Youhui
通讯作者	Guo, GH
来源期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
EISSN	1420-9039
出版年	2024
卷号	75 期号:2
英文摘要	This paper is devoted to a mathematical model with diffusion and cross-diffusion to describe the interaction between vegetation and soil water. First, the existence of Hopf bifurcation and cross-diffusion-driven Turing instability are discussed. Then, based on the nonlinear analysis, we obtain the exact parameters range for stationary patterns and show the dynamical behavior near Turing bifurcation point. It is found that the model has the properties of gap, strip and spot patterns. Moreover, the small water-uptake ability of vegetation roots promotes the growth of vegetation and the transitions of vegetation pattern. But with the continuous increase of the water-uptake ability of vegetation roots, the local vegetation biomass density increases and the isolation between vegetation patches also increases, which may induce the emergence of desertification. In addition, our results reveal that the water consumption rate induces the transitions of vegetation pattern and prohibits the increase of vegetation biomass density.
英文关键词	Water-vegetation model Turing instability Multi-scale analysis Amplitude equation Pattern formation
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:001163903100001
WOS关键词	PATTERN-FORMATION ; DESERTIFICATION ; DYNAMICS
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/2XILL650/405947
推荐引用方式 GB/T 7714	Guo, Gaihui,Zhao, Shihan,Pang, Danfeng,et al. Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect[J],2024,75(2).
APA	Guo, Gaihui,Zhao, Shihan,Pang, Danfeng,&Su, Youhui.(2024).Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,75(2).
MLA	Guo, Gaihui,et al."Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 75.2(2024).