https://doi.org/10.1140/epjb/e2010-00015-8
Genotype selection model with two time-correlated white noises
Laboratory of Quantum Information Technology, ICMP and SPTE, South China Normal University, Guangzhou, P.R. China
Corresponding author: aibq@hotmail.com
Received:
6
April
2009
Revised:
4
November
2009
Published online:
15
January
2010
We study the steady state properties of a genotype selection model in the presence of two time correlated Gaussian white noises. Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution has been investigated. The fluctuation of both the mutation factor and the genetic factor can break the balance of the gene selection. The fluctuation of the genetic factor can facilitate the gene separation which allows us to select one gene-type haploid from a gene group while the fluctuation of the mutation factor impedes the gene separation. Remarkably, the correlation time between the two noises can induce the system to change from two states to one.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010
