Extinction dynamics from metastable coexistences in an evolutionary game

Park, Hye Jin; Traulsen, Arne

doi:10.1103/PhysRevE.96.042412

Item

ITEM ACTIONSEXPORT

Add to Basket

Release HistoryDetailsSummary

Released

Journal Article

Extinction dynamics from metastable coexistences in an evolutionary game

MPS-Authors

/persons/resource/persons211437

Park, Hye Jin
Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

/persons/resource/persons56973

Traulsen, Arne
Department Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Max Planck Society;

External Resource

https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.042412
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Park, H. J., & Traulsen, A. (2017). Extinction dynamics from metastable coexistences in an evolutionary game. Physical Review E, 96: 042412. doi:10.1103/PhysRevE.96.042412.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-2775-5

Abstract

Deterministic evolutionary game dynamics can lead to stable coexistences of different types. Stochasticity, however, drives the loss of such coexistences. This extinction is usually accompanied by population size fluctuations. We investigate the most probable extinction trajectory under such fluctuations by mapping a stochastic evolutionary model to a problem of classical mechanics using the Wentzel-Kramers-Brillouin (WKB) approximation. Our results show that more abundant types in a coexistence may be more likely to go extinct first, in good agreement with previous results. The distance between the coexistence and extinction points is not a good predictor of extinction either. Instead, the WKB method correctly predicts the type going extinct first. © 2017 American Physical Society.