arXiv 1306.12352013-06-05q-bio.PE

Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Stanislav Molchanov, Elena Zhizhina

备注：: 14 pages
发表信息：: Russian Journal of Mathematical Physics, 2014, 21 (4), p. 450-459
DOI：: 10.1134/S1061920814040037

英文摘要：

We consider birth-and-death stochastic evolution of genotypes with different lengths. The genotypes might mutate that provides a stochastic changing of lengthes by a free diffusion law. The birth and death rates are length dependent which corresponds to a selection effect. We study an asymptotic behavior of a density for an infinite collection of genotypes. The cases of space homogeneous and space heterogeneous densities are considered.

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