Patchy landscapes in arid environments: Nonlinear analysis of the interaction-redistribution model
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2020Metadata
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Messaoudi, M.
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Patchy landscapes in arid environments: Nonlinear analysis of the interaction-redistribution model
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Abstract
We consider a generic interaction-redistribution model of vegetation dynamics to investigate the formation of patchy vegetation in semi-arid and arid landscapes. First, we perform a weakly nonlinear analysis in the neighborhood of the symmetry-breaking instability. Following this analysis, we construct the bifurcation diagram of the biomass density. The weakly nonlinear analysis allows us to establish the condition under which the transition from super- to subcritical symmetry-breaking instability takes place. Second, we generate a random distribution of localized patches of vegetation numerically. This behavior occurs in regimes where a bare state coexists with a uniform biomass density. Field observations allow to estimate the total biomass density and the range of facilitative and competitive interactions.
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Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1180903
Millennium Institute for Research in Optics (MIRO)
CONICYT through Becas Magister Nacional 2015
22151824
Fonds de la Recherche Scientifique - FNRS
Wallonie-Bruxelles International (WBI)
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Artículo de publicación ISI Artículo de publicación SCOPUS
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Chaos 30, 093136 (2020)
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