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Time-delayed fronts from biased random walks
Fort, Joaquim; Pujol i Sagaró, Toni
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
10-07-2009
Física -- Ecologia
Physics -- Ecology
Equacions de reacció-difusió
Reaction-diffusion equations
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Artículo
IOP Institute of Physics and Deutsche Physikalische Gesellschaft
         

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