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Eigen model version of evolution with directed migration
Chinese Journal of Physics. 2019. Vol. 57. P. 309-313.
Yakushkina T., Saakian D.
We consider the two-habitat quasispecies model, which describes evolutionary process with migration on the basis of the Eigen model. In the first habitat there is only one genotype, and here is an influx of the replicators from the first habitat to the second one with the rate h. We solve exactly the case of a single-peak fitness landscape in both habitats, when in the first habitat there are no mutations. The Eigen model version of the model is more adequately describes the real biological experiments than the Crow-Kimura model, as can be related to the serial transfer experiments in chemical reactor.
Priority areas:
mathematics
Language:
English
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