Dynamic fitness landscapes in the quasispecies model

Abstract

The quasispecies model is studied for the special case of externally varying replication rates. Most emphasis is laid on periodic time dependencies, but other cases are considered as well. For periodic time dependencies, the behavior of the evolving system can be determined analytically in several limiting cases. With that knowledge, the qualitative phase diagram in a given time-periodic fitness landscape can be predicted without almost any calculations. Several example landscapes are analyzed in detail in order to demonstrate the validity of this approach. For other, non-periodic time dependencies, it is also possible to obtain results in some of the limiting cases, so that there can be made predictions as well. Finally, the relationship between the results from the infinite population limit and the actual finite population dynamics is discussed. CO Wilke is on the leave to Caltech, Pasadena, CA. Email: claus.wilke@gmx.net C Ronnewinkel’s current postal address is: Institut für Neuroinformatik, Ruhr-Universität Bochum 44780 Bochum, Germany. Email: ronne@neuroinformatik.ruhr-uni-bochum.de Email: martinetz@informatik.mu-luebeck.de 1

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Cite this paper

@inproceedings{Wilke2008DynamicFL, title={Dynamic fitness landscapes in the quasispecies model}, author={Claus O. Wilke and Christopher Ronnewinkeland and Thomas Martinetz}, year={2008} }