Chin. Phys. Lett.  2010, Vol. 27 Issue (6): 060504    DOI: 10.1088/0256-307X/27/6/060504
GENERAL |
Effect of Correlated Noises in a Genetic Model

ZHANG Li1, CAO Li2

1College of Biomedical Engineering, South-Central University for Nationalities, Wuhan 430074 2School of Physics, Huazhong University of Science and Technology, Wuhan 430074
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ZHANG Li, CAO Li 2010 Chin. Phys. Lett. 27 060504
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Abstract

The Stratonovich stochastic differential equation is used to analyze genotype selection in the presence of correlated Gaussian white noises. We study the steady state properties of the genotype selection and discuss the effects of the correlated noises. It is found that the degree of correlation of the noises can be used to select one type of genes from another type of mixing genes. The strong selection of genes caused by a large value of multiplicative noise intensity can be weakened by the intensive negative correlation.

Keywords: 05.40.-a      87.23.-n      02.50.Ey     
Received: 10 February 2010      Published: 25 May 2010
PACS:  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  87.23.-n (Ecology and evolution)  
  02.50.Ey (Stochastic processes)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/6/060504       OR      https://cpl.iphy.ac.cn/Y2010/V27/I6/060504
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ZHANG Li
CAO Li
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