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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 9: Evolutionary Game Theory (joint session SOE / BP / DY)

SOE 9.3: Vortrag

Dienstag, 21. März 2017, 11:30–11:45, GÖR 226

Extinction properties in the coexistence two-species population induced by demographic fluctuation — •Hye Jin Park and Arne Traulsen — Department of Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Plön, Germany

Two-species system can be described by the reaction rules which occur according to given rates. Due to this stochasticity a population size fluctuates, and the system is out of the deterministic system. Even thought the system has a stable fixed point in the deterministic case, it can be in an another state for the stochastic model. Since the population is never recovered once it goes to extinct, all populations go to extinct eventually unless the population size goes to infinity. Here, we investigate extinction properties of two-species system and examine which one is preferred to extinct first when two species can coexist for a long time. In this paper, we find the most probable trajectory to extinction in the species-abundances space using WKB (Wentzel-Kramers-Brillouin) method and show that the one of the species is preferred to extinct first as carrying capacity increases. In addition, we find that the mean time to extinction increases as a power law for small carrying capacity while exponentially increases for larger carrying capacity than certain value.