Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

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Abstract

The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.
Original languageEnglish
Pages (from-to)902-908
JournalEurophysics Letters
Volume66
DOIs
Publication statusPublished - 15 Mar 2004

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