Localized vegetation patterns, fairy circles, and localized patches in arid landscapes

D. Escaff, C. Fernandez-Oto, M. G. Clerc, M. Tlidi

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

34 Citas (Scopus)

Resumen

We investigate the formation of localized structures with varying widths in one- and two-dimensional systems. The mechanism of stabilization is attributed to strongly nonlocal coupling mediated by a Lorentzian type of kernel. We show that, in addition to stable dips found recently [see, e.g. Fernandez-Oto, Phys. Rev. Lett. 110, 174101 (2013)PRLTAO0031-900710.1103/PhysRevLett.110.174101], there are stable localized peaks which appear as a result of strongly nonlocal coupling. We applied this mechanism to arid ecosystems by considering a prototype model of a Nagumo type. In one dimension, we study the front connecting the stable uniformly vegetated state to the bare one under the effect of strongly nonlocal coupling. We show that strongly nonlocal coupling stabilizes both - dip and peak - localized structures. We show analytically and numerically that the width of a localized structure, which we interpret as a fairy circle, increases strongly with the aridity parameter. This prediction is in agreement with published observations. In addition, we predict that the width of localized patch decreases with the degree of aridity. Numerical results are in close agreement with analytical predictions.
Idioma originalInglés
Número de artículo022924
PublicaciónPhysical Review E
Volumen91
N.º2
DOI
EstadoPublicada - 26 feb 2015

Nota bibliográfica

Publisher Copyright:
© 2015 American Physical Society.

Huella

Profundice en los temas de investigación de 'Localized vegetation patterns, fairy circles, and localized patches in arid landscapes'. En conjunto forman una huella única.

Citar esto