Eur. Phys. J. B 73, 433-437 (2010)
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

Abstract

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.