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

The speed of traveling fronts for a two-dimensional model of a delayed reactiondispersal 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

EDP Sciences

Author: Méndez López, Vicenç
Campos, Daniel
Fort, Joaquim
Abstract: The speed of traveling fronts for a two-dimensional model of a delayed reactiondispersal 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
Document access: http://hdl.handle.net/2072/211923
Language: eng
Publisher: EDP Sciences
Rights: Tots els drets reservats
Subject: Kernel, Funcions de
Kernel functions
Dinàmica molecular -- Simulació per ordinador
Molecular dynamics -- Computer simulation
Distribució (Teoria de la probabilitat)
Distribution (Probability theory)
Equacions de reacció-difusió
Reaction-diffusion equations
Title: Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions
Type: info:eu-repo/semantics/article
Repository: Recercat

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