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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

New Journal of Physics: the open-acces journal for physics, 2008, vol 9, núm. 7

IOP Institute of Physics and Deutsche Physikalische Gesellschaft

Autor: Fort, Joaquim
Pujol i Sagaró, Toni
Data: juliol 2007
Resum: 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
Format: application/pdf
Cita: Fort, J., i Pujol, T. (2007). Time-delayed fronts from biased random walks. New Journal of Physics: the open-acces journal for physics, 9(7), 234. Recuperat 24 de setembre de 2008, a http://dx.doi.org/10.1088/1367-2630/9/7/234
ISSN: 1367-2630 (versió paper)
1367-2630 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/1009
Llenguatge: eng
Editor: IOP Institute of Physics and Deutsche Physikalische Gesellschaft
Col·lecció: Reproducció digital del document publicat a: http://dx.doi.org/10.1088/1367-2630/9/7/234
Articles publicats (D-F)
És part de: New Journal of Physics: the open-acces journal for physics, 2008, vol 9, núm. 7
Drets: Aquest document està subjecte a una llicència Creative Commons: Reconeixement – No comercial – Compartir igual (by-nc-sa)
URI Drets: http://creativecommons.org/licenses/by-nc-sa/3.0/deed.ca
Matèria: Física -- Ecologia
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
Títol: Time-delayed fronts from biased random walks
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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