Changes in the Gradient Percolation Transition Caused by an Allee Effect

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

Research output: Contribution to journalArticle (Academic Journal)peer-review

13 Citations (Scopus)


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 proportional to g(-0.57). However, with a strong Allee effect the transition is first order and w proportional to g(-0.26).

Original languageEnglish
Article number128103
Pages (from-to)-
Number of pages4
JournalPhysical Review Letters
Issue number12
Publication statusPublished - 23 Mar 2011

Structured keywords

  • Engineering Mathematics Research Group


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