Article ID Journal Published Year Pages File Type
974031 Physica A: Statistical Mechanics and its Applications 2016 8 Pages PDF
Abstract

•Genotype selection model interplay with cross-correlated noises and time delay is investigated.•Transition induced by cross-correlated bounded noises in the systems is observed.•As time delay increases, probability distribution transfers from unimodal to bimodal.•The system undergoes a new transition to four stable states for large correlation time.

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 ττ 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 ττ increases).

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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