Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates
arXiv:1306.1235 · doi:10.1134/S1061920814040037
Abstract
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.
14 pages