Abstract
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.
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Fuentes, M.A., Cáceres, M.O. Fairy circles and their non-local stochastic instability. Eur. Phys. J. Spec. Top. 226, 443–453 (2017). https://doi.org/10.1140/epjst/e2016-60178-1
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DOI: https://doi.org/10.1140/epjst/e2016-60178-1