干旱区生态环境知识资源中心(Arid): Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment

Arid

DOI	10.3390/fractalfract8050264
	Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment
	Gao, Xiao-Long; Zhang, Hao-Lu; Wang, Yu-Lan; Li, Zhi-Yuan
通讯作者	Wang, YL
来源期刊	FRACTAL AND FRACTIONAL
EISSN	2504-3110
出版年	2024
卷号	8 期号:5
英文摘要	In order to stop and reverse land degradation and curb the loss of biodiversity, the United Nations 2030 Agenda for Sustainable Development proposes to combat desertification. In this paper, a fractional vegetation-water model in an arid flat environment is studied. The pattern behavior of the fractional model is much more complex than that of the integer order. We study the stability and Turing instability of the system, as well as the Hopf bifurcation of fractional order alpha, and obtain the Turing region in the parameter space. According to the amplitude equation, different types of stationary mode discoveries can be obtained, including point patterns and strip patterns. Finally, the results of the numerical simulation and theoretical analysis are consistent. We find some novel fractal patterns of the fractional vegetation-water model in an arid flat environment. When the diffusion coefficient, d, changes and other parameters remain unchanged, the pattern structure changes from stripes to spots. When the fractional order parameter, beta, changes, and other parameters remain unchanged, the pattern structure becomes more stable and is not easy to destroy. The research results can provide new ideas for the prevention and control of desertification vegetation patterns.
英文关键词	vegetation pattern fractional vegetation-water model weakly nonlinear analysis Hopf bifurcation
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:001232442300001
WOS类目	Mathematics, Interdisciplinary Applications
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/2XILL650/403814
推荐引用方式 GB/T 7714	Gao, Xiao-Long,Zhang, Hao-Lu,Wang, Yu-Lan,et al. Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment[J],2024,8(5).
APA	Gao, Xiao-Long,Zhang, Hao-Lu,Wang, Yu-Lan,&Li, Zhi-Yuan.(2024).Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment.FRACTAL AND FRACTIONAL,8(5).
MLA	Gao, Xiao-Long,et al."Research on Pattern Dynamics Behavior of a Fractional Vegetation-Water Model in Arid Flat Environment".FRACTAL AND FRACTIONAL 8.5(2024).