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

Jaewook Joo, Joel L. Lebowitz

Research output: Contribution to journalArticle

7 Citations (Scopus)

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

Fingerprint

Contact Process
Heterogeneous Systems
Stationary States
Population Dynamics
Spatial Heterogeneity
Heterogeneous Media
Population Model
oases
One Dimension
Phase Diagram
Convection
Two Dimensions
Computer Simulation
deserts
death
Zero
convection
computerized simulation
phase diagrams
Model

All Science Journal Classification (ASJC) codes

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

Cite this

@article{1274c3a028134b2e9d485f3dd5cc99f6,
title = "Population dynamics in spatially heterogeneous systems with drift: The generalized contact process",
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.",
author = "Jaewook Joo and Lebowitz, {Joel L.}",
year = "2005",
month = "9",
day = "1",
doi = "10.1103/PhysRevE.72.036112",
language = "English (US)",
volume = "72",
journal = "Physical review. E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Population dynamics in spatially heterogeneous systems with drift

T2 - The generalized contact process

AU - Joo, Jaewook

AU - Lebowitz, Joel L.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=28844433302&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=28844433302&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.72.036112

DO - 10.1103/PhysRevE.72.036112

M3 - Article

C2 - 16241520

AN - SCOPUS:28844433302

VL - 72

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 3

M1 - 036112

ER -