Changes in the gradient percolation transition caused by an allee effect

Michael T. Gastner, Beata Oborny, Alexey B. Ryabov, Bernd Blasius

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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.

Original languageEnglish
Article number128103
JournalPhysical review letters
Issue number12
Publication statusPublished - Mar 23 2011


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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