Saakian, David B.Deem, Michael W.Hu, Chin-Kun2013-03-132014-03-192012-04Saakian, David B., Deem, Michael W. and Hu, Chin-Kun. "Finite population size effects in quasispecies models with single-peak fitness landscape." <i>EPL,</i> 98, (2012) IOP Publishing: 18001. http://dx.doi.org/10.1209/0295-5075/98/18001.https://hdl.handle.net/1911/70576We consider finite population size effects for Crow-Kimura and Eigen quasispecies models with single-peak fitness landscape. We formulate accurately the iteration procedure for the finite population models, then derive the Hamilton-Jacobi equation (HJE) to describe the dynamic of the probability distribution. The steady-state solution of HJE gives the variance of the mean fitness. Our results are useful for understanding the population sizes of viruses in which the infinite population models can give reliable results for biological evolution problems.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1209/0295-5075/98/18001