A stochastic version of the Eigen model

Details A stochastic version of the Eigen model A stochastic version of the Eigen model

2009-01-23

arxiv.org/abs/0901.3666v3

Biology

Quantitative Biology

Populations and Evolution

This paper has been withdrawn by the author due to the publication on Bull. Math. Biol. 73 (2011) 151-180, that does not allow

Scientific paper

We exhibit a stochastic discrete time model that has exactly the Eigen model as its deterministic continuous limit. Such model can be divided into two phases: reproduction followed by neutral selection. This result suggests that Eigen model describes the competition among individuals differing for reproductive capability but equivalent as survivors. We explicitly write down the Markov matrix of the stochastic model in the two species case and compute numerically the master sequence concentration for various values of the total population. Finally we compare our results with those obtained with Eigen model and with Nowak and Schuster birth and death model.

Affiliated with

Also associated with

No associations

Rating

A stochastic version of the Eigen model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A stochastic version of the Eigen model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A stochastic version of the Eigen model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65973