Transitions induced by cross-correlated bounded noises and time delay in a genotype selection model

We present a numerical investigation of occurrence of transitions in a genotype selection model with time delay, where two bounded noises are cross-correlated. Stationary probability distribution (SPD) function is obtained. It is found that: the multiplicative bounded noise can facilitate the gene separation and it plays a constructive role in the genetic selection progress, while the additive bounded noise suppresses the gene separation. The strong correlation between noises gives a big chance to one type haploid out of the group. Besides, what is more interesting is that the correlation time tau can induce a new transitions (i.e., the curve of the SPD changes from unimodal to bimodal, and then to four peaks as the correlation time tau increases). (C) 2015 Elsevier B.V. All rights reserved.