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随机基因选择模型中的延迟效应

王参军

物理学报2012,Vol.61Issue(5):45-50,6.
物理学报2012,Vol.61Issue(5):45-50,6.

随机基因选择模型中的延迟效应

Time-delay effect of a stochastic genotype selection model

王参军1

作者信息

  • 1. 宝鸡文理学院非线性研究所,宝鸡721016
  • 折叠

摘要

Abstract

The time-delay effect of a genotype selection model driven by noise is investigated. The approximate delay Fokker-Planck equation is obtained based on the small time delay method and the stochastic equivalent rule. The explicit expression of the steady state probability distribution is derived, and the effect of the time delay on the steady sate properties of the genotype selection model driven by noise is discussed. It is found that the time delay can induce the transition from monostable state to bistable state. The time delay is helpful to select one type of genes from another type of mixing genes. The theoretical predictions are found to be in basic agreement with numerical results.

关键词

时间延迟/噪声/基因选择模型/相变

Key words

time delay/noise/genotype selection model/transition

分类

数理科学

引用本文复制引用

王参军..随机基因选择模型中的延迟效应[J].物理学报,2012,61(5):45-50,6.

基金项目

国家自然科学基金(批准号:11047146)、陕西省自然科学基金(批准号:2010JQ1014)、陕西省教育厅自然科学基金(批准号:09JK331)和宝鸡文理学院重点科研项目(批准号:ZK11053)资助的课题. ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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