Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.106.128103
Title: Changes in the Gradient Percolation Transition Caused by an Allee Effect
Authors: Gastner, Michael T 
Oborny, Beata
Ryabov, Alexey B
Blasius, Bernd
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
PHASE-TRANSITIONS
SPECIES BORDERS
MODELS
DYNAMICS
DIMENSION
INVASION
FRONT
Issue Date: 23-Mar-2011
Publisher: AMER PHYSICAL SOC
Citation: Gastner, Michael T, Oborny, Beata, Ryabov, Alexey B, Blasius, Bernd (2011-03-23). Changes in the Gradient Percolation Transition Caused by an Allee Effect. PHYSICAL REVIEW LETTERS 106 (12). ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.106.128103
Abstract: The establishment and spreading of biological populations depends crucially on population growth at low densities. The Allee effect is a problem in those populations where the per capita growth rate at low densities is reduced. We examine stochastic spatial models in which the reproduction rate changes across a gradient g so that the population undergoes a 2D-percolation transition. Without the Allee effect, the transition is continuous and the width w of the hull scales as in conventional (i.e., uncorrelated) gradient percolation, w∝g-0.57. However, with a strong Allee effect the transition is first order and w∝g-0.26. © 2011 American Physical Society.
Source Title: PHYSICAL REVIEW LETTERS
URI: https://scholarbank.nus.edu.sg/handle/10635/169017
ISSN: 00319007
10797114
DOI: 10.1103/PhysRevLett.106.128103
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