# Existence of localised radial patterns in a model for dryland vegetation

@inproceedings{Hill2021ExistenceOL, title={Existence of localised radial patterns in a model for dryland vegetation}, author={Daniel J. Hill}, year={2021} }

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…

## One Citation

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

- Environmental Science, Mathematics
- 2022

We construct far-from-onset radially symmetric spot and gap solutions in a two-component dryland ecosystem model of vegetation pattern formation on ﬂat terrain, using spatial dynamics and geometric…

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