A nonlocal reaction-diffusion model with Mexican-hat kernel shows spatial marsh shoreline patterns emerge when the kernel width and amplitude satisfy derived conditions from the biharmonic approximation.
(1998), ‘Spatial heterogeneity in three species, plant-parasite-hyperparasite, systems’, Philosophical Transactions of the Royal Society B: Biological Sciences 353(1368)
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Model of pattern formation in marsh ecosystems with nonlocal interactions
A nonlocal reaction-diffusion model with Mexican-hat kernel shows spatial marsh shoreline patterns emerge when the kernel width and amplitude satisfy derived conditions from the biharmonic approximation.