干旱区生态环境知识资源中心(Arid): Dynamic analysis of a plant-water model with spatial diffusion

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DOI	10.1016/j.jde.2022.05.009
	Dynamic analysis of a plant-water model with spatial diffusion
	Sun, Gui-Quan; Zhang, Hong-Tao; Song, Yong-Li; Li, Li; Jin, Zhen
通讯作者	Sun, GQ
来源期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
EISSN	1090-2732
出版年	2022
卷号	329 页码:395-430
英文摘要	Vegetation pattern is one of the typical features in arid or semi-arid areas and thus revealing the mechanism of vegetation evolution is helpful to understand the behavior of ecosystem. To this end, we investigate the spatiotemporal dynamics of a diffusive plant-water model in an arid flat environment in this paper. By carrying out bifurcation analysis, we find that the system has the properties of Turing-Hopf bifurcation. Based on the normal form theory of reaction-diffusion equations, the dynamics of the diffusive plant-water model in the neighbourhood of the Turing-Hopf bifurcation point are exactly analyzed. Our results show that tiny changes of parameters can induce the switch of four different states including uniform state, time periodic state, spatially inhomogeneous steady state and spatially inhomogeneous periodic state. Moreover, there are different types of bistable phenomenon between desert state and other states, which will provide some insights into that whether ecosystems are vulnerable. (C) 2022 Elsevier Inc. All rights reserved.
英文关键词	Plant-water model Turing-Hopf bifurcation Normal form Bistable state
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000832797200010
WOS关键词	TURING-HOPF BIFURCATION ; BANDED VEGETATION ; PATTERN SOLUTIONS ; KLAUSMEIER MODEL ; SPATIOTEMPORAL PATTERNS ; CATASTROPHIC SHIFTS ; SELF-ORGANIZATION ; SYSTEM ; DELAY ; PATCHINESS
WOS类目	Mathematics
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/2XILL650/393395
推荐引用方式 GB/T 7714	Sun, Gui-Quan,Zhang, Hong-Tao,Song, Yong-Li,et al. Dynamic analysis of a plant-water model with spatial diffusion[J],2022,329:395-430.
APA	Sun, Gui-Quan,Zhang, Hong-Tao,Song, Yong-Li,Li, Li,&Jin, Zhen.(2022).Dynamic analysis of a plant-water model with spatial diffusion.JOURNAL OF DIFFERENTIAL EQUATIONS,329,395-430.
MLA	Sun, Gui-Quan,et al."Dynamic analysis of a plant-water model with spatial diffusion".JOURNAL OF DIFFERENTIAL EQUATIONS 329(2022):395-430.