Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds
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Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds
References pa.2011.0194.full.html#ref-list-1 http://rspa.royalsocietypublishing.org/content/early/2011/06/24/rs This article cites 69 articles, 11 of which can be accessed free P<P Published online 29 June 2011 in advance of the print journal. Subject collections (330 articles) applied mathematics Articles on similar topics can be found in the following collections Email alerting service her...
متن کاملPattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I
In many semi-arid environments, vegetation cover is sparse, and is selforganized into large-scale spatial patterns. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, and many models are effectively extensions of a coupled reaction–diffusion–advection system proposed by Klausmeier (1999 Science 284 1826–8). However, th...
متن کاملPattern solutions of the Klausmeier model for banded vegetation in semi-arid environments III: The transition between homoclinic solutions
Self-organised patterns of vegetation are a characteristic feature of semi-deserts. On hillsides, these typically comprise vegetation bands running parallel to the contours, separated by regions of bare ground (‘‘tiger bush’’). The present study concerns the Klausmeier mathematical model for this phenomenon [C.A. Klausmeier, Regular and irregular patterns in semiarid vegetation, Science 284 (19...
متن کاملPattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments V: The Transition from Patterns to Desert
Vegetation in semideserts often self-organizes into spatial patterns. On gentle slopes, these typically consist of stripes of vegetation running parallel to the contours, separated by stripes of bare ground. The Klausmeier model is one of the oldest and most established of a number of mathematical models for this “banded vegetation.” The model is a system of reaction-diffusion-advection equatio...
متن کاملPattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments IV: Slowly Moving Patterns and Their Stability
Banded vegetation is a characteristic feature of semiarid environments, comprising stripes of vegetation running parallel to the contours on hillsides, separated by stripes of bare ground. Mathematical modelling plays an important role in the study of this phenomenon, and the Klausmeier model is one of the oldest and most established, consisting of coupled reaction-diffusionadvection equations ...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2011
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2011.0194