https://doi.org/10.1140/epjb/e2016-70138-y
Regular Article
The effect of sine-Wiener noises on transition in a genotype selection model with time delays
College of Mathematics and Information Science, Shaanxi Normal University,
Xi’an 710062, P.R. China
a e-mail: liupei@snnu.edu.cn
Received:
5
March
2016
Received in final form:
16
June
2016
Published online:
14
September
2016
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).
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016
