,Transitions in a genotype selection model driven by coloured noises

• 作 者: Wang Can-Jun Mei Dong-Cheng
• 机 构: Department of Physics,Yunnan University,Kunming 650091,China“,”Nonlinear Research Institute,Baoji Un
• 出 处: 中国物理B（英文版）
• 发表日期: 2008年2期
• 关键词: genotype selection model coloured noise stationary probability distribution

This paper investigates a genotype selection model subjected to both a multiplicative coloured noise and an additive coloured noise with different correlation time T1 and T2 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 α and the correlation time T2 play opposite roles.It is noted that α and T2 can not separate the single peak,while αcan make the peak disappear and T2 can make the peak be sharp.(3) The multiplicative coloured noise intensity D and the correlation time T1 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 T1.