Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.1016/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
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ISSN | 0307-904X |
EISSN | 1872-8480 |
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 |
推荐引用方式 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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