A Stochastic Version of the Eigen Model

  title={A Stochastic Version of the Eigen Model},
  author={Fabio Musso},
  journal={Bulletin of Mathematical Biology},
  • F. Musso
  • Published 23 January 2009
  • Mathematics
  • Bulletin of Mathematical Biology
We exhibit a stochastic discrete time model that produces the Eigen model (Naturwissenschaften 58:465–523, 1971) in the deterministic and continuous time limits. The model is based on the competition among individuals differing in terms of fecundity but with the same viability. We explicitly write down the Markov matrix of the discrete time stochastic model in the two species case and compute the master sequence concentration numerically for various values of the total population. We also… 

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