• Corpus ID: 236447362

Existence of localised radial patterns in a model for dryland vegetation

  title={Existence of localised radial patterns in a model for dryland vegetation},
  author={Daniel J. Hill},
Localised radial patterns have been observed in the vegetation of semi-arid ecosystems, often as localised patches of vegetation or in the form of ‘fairy circles’. We consider stationary localised radial solutions to a reduced model for dryland vegetation on flat terrain. By considering certain prototypical patternforming systems, we prove the existence of three classes of localised radial patterns bifurcating from a Turing instability. We also present evidence for the existence of localised… 

Large amplitude radially symmetric spots and gaps in a dryland ecosystem model

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