中国物理B ›› 2008, Vol. 17 ›› Issue (2): 479-485.doi: 10.1088/1674-1056/17/2/023
梅冬成1, 王参军2
Wang Can-Jun(王参军)a)b)† and Mei Dong-Cheng(梅冬成)a)
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 $\tau_{1}$ and $\tau_{2}$ 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 $\mu$ decides that the selection is propitious to gene $A$ haploid or gene $B$ haploid. (2) The additive coloured noise intensity $\alpha$ and the correlation time $\tau_2$ play opposite roles. It is noted that $\alpha$ and $\tau_2$ can not separate the single peak, while $\alpha$ can make the peak disappear and $\tau_2$ can make the peak be sharp. (3) The multiplicative coloured noise intensity $D$ and the correlation time $\tau_1$ 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 $\tau_1$.
中图分类号: (Noise)