Arid
DOI10.1016/j.apm.2016.11.031
Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments
Consolo, Giancarlo1; Curro, Carmela1; Valenti, Giovanna2
通讯作者Consolo, Giancarlo
来源期刊APPLIED MATHEMATICAL MODELLING
ISSN0307-904X
EISSN1872-8480
出版年2017
卷号43页码:372-392
英文摘要

This paper presents analytical and numerical investigations of pattern formation and modulation in a one-dimensional hyperbolic extension of the Klausmeier reaction-diffusion-advection vegetation model for semiarid environments. The hyperbolicity of the model is shown to provide an additional degree of freedom which can be used to modify the dynamical response of the system away from the parabolic limit as well as to reproduce qualitatively the experimental data. Results of linear stability analysis reveal the possibility to modulate, almost separately, the main pattern features (wavelength and uphill migration speed) by acting on two independent parameters: the slope steepness and the characteristic velocity. Moreover, a possible justification of the mechanism underlying the uphill migration of the patterns is suggested in terms of the phase shift between the spatial distributions of vegetation biomass and water. The hyperbolicity of the system has also facilitated the search for a class of exact solutions, via the differential constraint method, for a hyperbolic vegetation model whose kinetic terms are more general than Klausmeier’s ones and whose applications are potentially broad. (C) 2016 Elsevier Inc. All rights reserved.


英文关键词Hyperbolic model Patterned solutions Travelling waves Hopf and Turing bifurcations Wave bifurcation Differential constraints method
类型Article
语种英语
国家Italy
收录类别SCI-E
WOS记录号WOS:000392792500025
WOS关键词PARTIAL-DIFFERENTIAL-EQUATIONS ; REACTION-DIFFUSION MODEL ; BANDED VEGETATION ; KLAUSMEIER MODEL ; GRAZING SYSTEMS ; DESERTIFICATION ; ECOSYSTEMS ; REDUCTION ; WAVES
WOS类目Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS研究方向Engineering ; Mathematics ; Mechanics
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/197412
作者单位1.Univ Messina, Dept Math Comp Phys & Earth Sci, Vle F Stagno DAlcontres 31, I-98166 Messina, Italy;
2.Univ Messina, Dept Engn, I-98166 Messina, Italy
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GB/T 7714
Consolo, Giancarlo,Curro, Carmela,Valenti, Giovanna. Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments[J],2017,43:372-392.
APA Consolo, Giancarlo,Curro, Carmela,&Valenti, Giovanna.(2017).Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments.APPLIED MATHEMATICAL MODELLING,43,372-392.
MLA Consolo, Giancarlo,et al."Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments".APPLIED MATHEMATICAL MODELLING 43(2017):372-392.
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