Population dynamics and Burgers' equation

Authors
Citation
Dr. Nelson, Population dynamics and Burgers' equation, PHYSICA A, 274(1-2), 1999, pp. 85-90
Citations number
9
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
274
Issue
1-2
Year of publication
1999
Pages
85 - 90
Database
ISI
SICI code
0378-4371(199912)274:1-2<85:PDABE>2.0.ZU;2-W
Abstract
A brief review of recent results [D.R. Nelson, N.M. Shnerb, Phys. Rev. E 58 (1998) 1383] connecting population dynamics in the presence of disorder an d convection with a noisy Burgers' equation is given. In the limit of high convection velocity, linearized population growth in dimensions is describe d by a (d - 1)-dimensional Burgers' equation with random noise. The Burgers mapping leads to universal results for the spreading and transverse profil e of populations drifting downstream through a disordered medium with spati ally varying growth rates. (C) 1999 Published by Elsevier Science B.V. All rights reserved.