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DOI	10.1016/j.physd.2019.03.006
	Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments
	Consolo, Giancarlo 1; Curro, Carmela 1; Valenti, Giovanna 2
通讯作者	Consolo, Giancarlo
来源期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
EISSN	1872-8022
出版年	2019
卷号	398 页码:141-163
英文摘要	Patterned vegetation dynamics in flat arid environments are investigated in the framework of a hyperbolic modified Klausmeier model. In particular, this study aims at elucidating how the properties exhibited by supercritical and subcritical patterns during the transient regime are affected by the inertial times. The present work encloses linear stability analysis to deduce the threshold condition for Turing pattern formation and weakly nonlinear analysis to describe the time evolution of the pattern amplitude close to the instability threshold. In our analysis, we consider the case in which the emerging patterns do not have any spatial structure, as it is typically assumed in small domains, as well as the scenario in which patterns form sequentially and propagate over a large domain in the form of a traveling wavefront. The hyperbolic model is also integrated numerically to validate the analytical predictions and to characterize more deeply the spatio-temporal evolution of vegetation patterns in both supercritical and subcritical regime. (C) 2019 Elsevier B.V. All rights reserved.
英文关键词	Turing vegetation patterns Hyperbolic model Weakly nonlinear analysis Supercritical and subcritical instabilities Inertial effects
类型	Article
语种	英语
国家	Italy
收录类别	SCI-E
WOS记录号	WOS:000477786800009
WOS关键词	BANDED VEGETATION ; KLAUSMEIER MODEL ; DIFFUSION-EQUATIONS ; ECOSYSTEMS ; DESERTIFICATION ; MODULATION ; TRANSITION ; SYSTEMS ; ORIGIN ; PLANTS
WOS类目	Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS研究方向	Mathematics ; Physics
EI主题词	2019-11-01
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/310605
作者单位	1.Univ Messina, Dept Math Comp Phys & Earth Sci, Vle F DAlcontres 31, I-98166 Messina, Italy; 2.Univ Messina, Dept Engn, Cda Dio S-N, I-98166 Messina, Italy
推荐引用方式 GB/T 7714	Consolo, Giancarlo,Curro, Carmela,Valenti, Giovanna. Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments[J],2019,398:141-163.
APA	Consolo, Giancarlo,Curro, Carmela,&Valenti, Giovanna.(2019).Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments.PHYSICA D-NONLINEAR PHENOMENA,398,141-163.
MLA	Consolo, Giancarlo,et al."Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments".PHYSICA D-NONLINEAR PHENOMENA 398(2019):141-163.