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BP: Fachverband Biologische Physik
BP 29: Statistical Physics of Biological Systems I (joint session BP/DY)
BP 29.12: Talk
Thursday, March 15, 2018, 12:45–13:00, H 2013
Evolution of carrying capacity and extinction of populations in a stochastic system — •Hye Jin Park1, Yuriy Pichugin1, Weini Huang2, and Arne Traulsen1 — 1Max Planck Institute for Evolutionary Biology, Plön, Germany — 2Barts Cancer Institute, London, United Kingdom
Once a mutant emerges in the population, new interactions are drawn between types, which may lead to changes in the population size. Using the game theory, we implement this population dynamics in a stochastic system. Since interactions between types are described by a game payoff matrix, the emergence of a mutant is interpreted as extending the payoff matrix. New equilibria can emerge by the change of the payoff matrix. If the population settles to a new equilibrium state, the population size changes. We examine the change of population size in time and quantify the extinction risk by the mean time to extinction.