Genotype selection model with two time-correlated white noises

Genotype selection model with two time-correlated white noises
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具有两个时间相关白噪声的基因型选择模型

DOI:
10.1140/epjb/e2010-00015-8
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发表时间:
2010-01
影响因子:
1.6
通讯作者:
张小苗
张小苗
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
艾保全;张小苗

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研究了存在两种时间相关高斯白色噪声时基因型选择模型的稳态性质。从相应的Fokker-Planck方程出发,研究了概率分布的稳态解。突变因子和遗传因子的波动都会打破基因选择的平衡。遗传因子的波动有利于基因分离,使我们能够从一个基因组中选择一个基因型的单倍体,而突变因子的波动则阻碍了基因分离。值得注意的是,两个噪声之间的关联时间可以诱导系统从两个状态变为一个状态。
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.
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