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Critical Population and Error Threshold on the Sharp Peak Landscape for a Moran Model(English, Paperback, Cerf Raphael) is written by Cerf Raphael and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470409674 (ISBN 10) and 9781470409678 (ISBN 13).
The goal of this work is to propose a finite population counterpart to Eigen's model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a population of size m of chromosomes of length ? over an alphabet of cardinality ?. The mutation probability per locus is q. He deals only with the sharp peak landscape: the replication rate is ?>1 for the master sequence and 1 for the other sequences. He studies the equilibrium distribution of the process in the regime where ?? ?,m? ?,q?0, ?q?a?]0, ?[,m????[0, ?].