Mutator Model with Migration

In this paper, we construct new versions of quasispecies models with mutator effect and ecological diversification. The proposed modifications are based on the Eigen and Crow–Kimura models of asexual evolution of finite population with large genome length. Our study examines the case with different fitness landscapes in the first and second habitats and migration flows. Here, the analytical investigation raises cumbersome mathematical problems. We show that the system has a rich phase structure governed by the transition and mutation rates. For single-peak fitness landscapes, the population is grouped around two peaks in the second habitat. We calculated the static characteristics of different phases. The calculation of population fractions around two peaks in wild-type and mutator types is of significant importance from our perspective.