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Propagation in a fractional reaction-diffusion equation in a periodically hostile environment (1905.04880v2)
Published 13 May 2019 in math.AP
Abstract: We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonstrating the existence and uniqueness of a non-trivial bounded stationary state $n_+$ , we prove that the stable state $n_+$ invades the unstable state 0 with a speed which is exponential in time.