The Solution of the Smerlak’s Modification of the Eigen Model

Abstract

The Eigen (quasispecies) model describes virus evolution via a system of nonlinear differential equations (nonlinear master equation). The model describes virus evolution, the origin of life, and some other phenomena of interdisciplinary research. Recently, M. Smerlak suggested a method by which these nonlinear models can be connected to Markov (linear) models. Here, we formulate Smerlak’s version of the Eigen model and solve the dynamics exactly at the large genome limit.