Zero-one survival behavior of cyclically competing species

Details Zero-one survival behavior of cyclically competing species Zero-one survival behavior of cyclically competing species

2008-12-22

arxiv.org/abs/0812.4191v2

Phys. Rev. Lett. 102, 048102 (2009)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.102.048102

Coexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey a surprisingly simple, though non-trivial behavior. Within a model where coexistence is neutrally stable, we demonstrate a robust zero-one law: When the interactions between the three species are (generically) asymmetric, the `weakest' species survives at a probability that tends to one for large population sizes, while the other two are guaranteed to extinct. We rationalize our findings from stochastic simulations by an analytic approach.

Affiliated with

Also associated with

No associations

Rating

Zero-one survival behavior of cyclically competing species 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 Zero-one survival behavior of cyclically competing species, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero-one survival behavior of cyclically competing species will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539030