Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates

Finkelshtein D, Kondratiev Y, Kutoviy O, Molchanov S, Zhizhina E (2014)
Russian Journal of Mathematical Physics 21(4): 450-459.

Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Zeitschriftenaufsatz | Veröffentlicht | Englisch
Autor
; ; ; ;
Abstract / Bemerkung
We consider birth-and-death stochastic evolution of genotypes with different lengths. The genotypes might mutate, which provides a stochastic changing of lengths 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.
Erscheinungsjahr
Zeitschriftentitel
Russian Journal of Mathematical Physics
Band
21
Ausgabe
4
Seite(n)
450-459
ISSN
PUB-ID

Zitieren

Finkelshtein D, Kondratiev Y, Kutoviy O, Molchanov S, Zhizhina E. Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates. Russian Journal of Mathematical Physics. 2014;21(4):450-459.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Molchanov, S., & Zhizhina, E. (2014). Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates. Russian Journal of Mathematical Physics, 21(4), 450-459. doi:10.1134/S1061920814040037
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Molchanov, S., and Zhizhina, E. (2014). Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates. Russian Journal of Mathematical Physics 21, 450-459.
Finkelshtein, D., et al., 2014. Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates. Russian Journal of Mathematical Physics, 21(4), p 450-459.
D. Finkelshtein, et al., “Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates”, Russian Journal of Mathematical Physics, vol. 21, 2014, pp. 450-459.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O., Molchanov, S., Zhizhina, E.: Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates. Russian Journal of Mathematical Physics. 21, 450-459 (2014).
Finkelshtein, Dmitri, Kondratiev, Yuri, Kutoviy, Oleksandr, Molchanov, S., and Zhizhina, Elena. “Density Behavior of Spatial Birth-and-Death Stochastic Evolution of Mutating Genotypes under Selection Rates”. Russian Journal of Mathematical Physics 21.4 (2014): 450-459.