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The effect of sine-Wiener noises on transition in a genotype selection model with time delays

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Abstract

A genotype selection system interplay with sine-Wiener noises and time delays is investigated. Stationary probability distribution function is obtained by numerical simulations. Results show that the multiplicative bounded noise can facilitate the gene separation, while the additive bounded noise suppresses the gene separation. Besides, local time delays α and β, being in gene transformation and gene heredity progress respectively, play opposite roles in the gene selection process. What is more interesting is that there is no transition during the process of gene select when time delays α = β (i.e., the system is subjected to global time delay).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, P.R. China

    Li Juan Ning & Pei Liu

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  1. Li Juan Ning
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  2. Pei Liu
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Correspondence to Pei Liu.

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Ning, L., Liu, P. The effect of sine-Wiener noises on transition in a genotype selection model with time delays. Eur. Phys. J. B 89, 201 (2016). https://doi.org/10.1140/epjb/e2016-70138-y

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  • DOI: https://doi.org/10.1140/epjb/e2016-70138-y

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