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

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  • Liu, Pei
  • Ning, Li Juan

Abstract

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 τ 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 τ increases).

Suggested Citation

  • Liu, Pei & Ning, Li Juan, 2016. "Transitions induced by cross-correlated bounded noises and time delay in a genotype selection model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 32-39.
    • Handle: RePEc:eee:phsmap:v:441:y:2016:i:c:p:32-39
    DOI: 10.1016/j.physa.2015.08.036
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