Fairy circles and their non-local stochastic instability
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- Fuentes, M.A. & Cáceres, M.O. Eur. Phys. J. Spec. Top. (2017) 226: 443. doi:10.1140/epjst/e2016-60178-1
We study analytically a non local stochastic partial differential equation describing a fundamental mechanism for patterns formation, as the one responsible for the so called fairy circles appearing in two different bio-physical scenarios; one on the African continent and another in Australia. Using a stochastic multiscale perturbation expansion, and a minimum coupling approximation we are able to describe the life-times associated to the stochastic evolution from an unstable uniform state to a patterned one. In this way we discuss how two different biological mechanisms can be collapsed in one analytical framework.