Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal
نویسندگان
چکیده
منابع مشابه
Pattern 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 selection and hysteresis in the Rietkerk model for banded vegetation in semi-arid environments.
Banded vegetation is a characteristic feature of semi-arid environments. It occurs on gentle slopes, with alternating stripes of vegetation and bare ground running parallel to the contours. A number of mathematical models have been proposed to investigate the mechanisms underlying these patterns, and how they might be affected by changes in environmental conditions. One of the most widely used ...
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 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 کاملNonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments.
In many semi-arid environments, vegetation is self-organised into spatial patterns. The most striking examples of this are on gentle slopes, where striped patterns are typical, running parallel to the contours. Previously, Klausmeier [1999. Regular and irregular patterns in semiarid vegetation. Science 284, 1826-1828.] has proposed a model for vegetation stripes based on competition for water. ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2018
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-018-1233-y