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Time-delayed fronts from biased random walks

We generalize a previous model of time-delayed reaction–diffusion fronts (Fort and Méndez 1999 Phys. Rev. Lett. 82 867) to allow for a bias in the microscopic random walk of particles or individuals. We also present a second model which takes the time order of events (diffusion and reproduction) into account. As an example, we apply them to the human invasion front across the USA in the 19th century. The corrections relative to the previous model are substantial. Our results are relevant to physical and biological systems with anisotropic fronts, including particle diffusion in disordered lattices, population invasions, the spread of epidemics, etc

IOP Institute of Physics and Deutsche Physikalische Gesellschaft

Author: Fort, Joaquim
Pujol i Sagaró, Toni
Abstract: We generalize a previous model of time-delayed reaction–diffusion fronts (Fort and Méndez 1999 Phys. Rev. Lett. 82 867) to allow for a bias in the microscopic random walk of particles or individuals. We also present a second model which takes the time order of events (diffusion and reproduction) into account. As an example, we apply them to the human invasion front across the USA in the 19th century. The corrections relative to the previous model are substantial. Our results are relevant to physical and biological systems with anisotropic fronts, including particle diffusion in disordered lattices, population invasions, the spread of epidemics, etc
Document access: http://hdl.handle.net/2072/25835
Language: eng
Publisher: IOP Institute of Physics and Deutsche Physikalische Gesellschaft
Rights: Aquest document està subjecte a una llicència Creative Commons: Reconeixement – No comercial – Compartir igual (by-nc-sa)
Rights URI: http://creativecommons.org/licenses/by-nc-sa/3.0/deed.ca
Subject: Física -- Ecologia
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
Title: Time-delayed fronts from biased random walks
Type: info:eu-repo/semantics/article
Repository: Recercat

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