Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 54: Statistical Physics of Biological Systems I (joint session BP/DY)

DY 54.12: 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.