Ítem


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

Autor: Fort, Joaquim
Pujol i Sagaró, Toni
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
Accés al document: http://hdl.handle.net/2072/25835
Llenguatge: eng
Editor: IOP Institute of Physics and Deutsche Physikalische Gesellschaft
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: Recercat

Matèries

Autors