Quasispecies evolution on a fitness landscape with a fluctuating peak

Details Quasispecies evolution on a fitness landscape with a fluctuating peak Quasispecies evolution on a fitness landscape with a fluctuating peak

2000-04-19

arxiv.org/abs/physics/0004039v1

Physics

Biological Physics

5 pages, 5 figures

Scientific paper

A quasispecies evolving on a fitness landscape with a single peak of fluctuating height is studied. In the approximation that back mutations can be ignored, the rate equations can be solved analytically. It is shown that the error threshold on this class of dynamic landscapes is defined by the time average of the selection pressure. In the case of a periodically fluctuating fitness peak we also study the phase-shift and response amplitude of the previously documented low-pass filter effect. The special case of a small harmonic fluctuation is treated analytically.

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