Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape

@article{Sire2006ExactSO,
  title={Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape},
  author={C. Sire and S. Majumdar and D. Dean},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2006},
  volume={2006}
}
  • C. Sire, S. Majumdar, D. Dean
  • Published 2006
  • Mathematics, Physics, Biology
  • Journal of Statistical Mechanics: Theory and Experiment
A simplified form of the time-dependent evolutionary dynamics of a quasispecies model with a rugged fitness landscape is solved via a mapping onto a random flux model whose asymptotic behaviour can be described in terms of a random walk. The statistics of the number of changes of the dominant genotype from a finite set of genotypes are exactly obtained confirming existing conjectures based on numerics. 
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