Population dynamics in spatially heterogeneous systems with drift: The generalized contact process

Jaewook Joo, Joel L. Lebowitz

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We investigate the time evolution and stationary states of a stochastic, spatially discrete, population model (contact process) with spatial heterogeneity and imposed drift (wind) in one and two dimensions. We consider in particular a situation in which space is divided into two regions: an oasis and a desert (low and high death rates). Carrying out computer simulations we find that the population in the (quasi) stationary state will be zero, localized, or delocalized, depending on the values of the drift and other parameters. The phase diagram is similar to that obtained by Nelson and coworkers from a deterministic, spatially continuous model of a bacterial population undergoing convection in a heterogeneous medium.

Original languageEnglish (US)
Article number036112
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number3
DOIs
StatePublished - Sep 1 2005

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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