Transitions in a genotype selection model driven by coloured noises

作     者：王参军 梅冬成 

作者机构：Department of PhysicsYunnan University Nonlinear Research InstituteBaoji University Of Sciences And Arts 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2008年第17卷第2期

页      面：479-485页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：Project supported by the Natural Science Foundation of Yunnan province of China (Grant No 2006A0002M) the Science Foundation of Baoji University of Science and Arts of China (Grant No Zk0697) 

主　　题：genotype selection model coloured noise stationary probability distribution 

摘      要：This paper investigates a genotype selection model subjected to both a multiplicative coloured noise and an additive coloured noise with different correlation time τ1 and τ2 by means of the numerical technique. By directly simulating the Langevin Equation, the following results are obtained. （1） The multiplicative coloured noise dominates, however, the effect of the additive coloured noise is not neglected in the practical gene selection process. The selection rate μ decides that the selection is propitious to gene A haploid or gene B haploid. （2） The additive coloured noise intensity and the correlation time τ2 play opposite roles. It is noted that α and τ2 can not separate the single peak, while can make the peak disappear and ^-2 can make the peak be sharp. （3） The multiplicative coloured noise intensity D and the correlation time τ1 can induce phase transition, at the same time they play opposite roles and the reentrance phenomenon appears. In this case, it is easy to select one type haploid from the group with increasing D and decreasing τ1.