Changes in the gradient percolation transition caused by an Allee effect

Details Changes in the gradient percolation transition caused by an Allee effect Changes in the gradient percolation transition caused by an Allee effect

2010-06-08

arxiv.org/abs/1006.1519v2

Phys. Rev. Lett. 106, 128103 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, Phys. Rev. Lett., in print, supplementary material available at http://www2.imperial.ac.uk/~mgastner/pub

Scientific paper

10.1103/PhysRevLett.106.128103

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

Affiliated with

Also associated with

No associations

Rating

Changes in the gradient percolation transition caused by an Allee effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Changes in the gradient percolation transition caused by an Allee effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Changes in the gradient percolation transition caused by an Allee effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30047