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DY: Fachverband Dynamik und Statistische Physik
DY 4: Statistical physics in biological systems II (joint session DY/BP)
DY 4.4: Talk
Monday, March 23, 2009, 15:00–15:15, HÜL 386
Complex dynamics of a population submitted to changing environment — •Michel Droz1, Ioana Bena1, Janusz Szwabinski1,2, and Andrzej Pȩkalski2 — 1Département de Physique Théorique, Université de Genève, quai E. Ansermet 24, 1211 Genève 4, Switzerland — 2Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland
The dynamics of a model for single-species population submitted to changing environment is studied both analytically and numerically. Different types of environment modifications are considered: periodic and abrupt (catastrophic). The delicate interplay between the different time-scale processes results in a complex dynamic for the system. The conditions for the existence of a phase transition “extinct-alive” as a function of the selection pressure and the mutation rate are discussed. Moreover, the effect of the delay in response to the changing environment on the population’s survival is also investigated.