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Fort, Joaquim
Pujol i Sagaró, Toni |
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| 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 | |
| http://hdl.handle.net/2072/25835 | |
| eng | |
| IOP Institute of Physics and Deutsche Physikalische Gesellschaft | |
| Aquest document està subjecte a una llicència Creative Commons: Reconeixement – No comercial – Compartir igual (by-nc-sa) | |
| http://creativecommons.org/licenses/by-nc-sa/3.0/deed.ca | |
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FÃsica -- Ecologia
Physics -- Ecology Equacions de reacció-difusió Reaction-diffusion equations |
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| Time-delayed fronts from biased random walks | |
| info:eu-repo/semantics/article | |
| Recercat |
