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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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Cite this article: |
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.
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Keywords:
05.40.-a
87.23.-n
02.50.Ey
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Received: 10 February 2010
Published: 25 May 2010
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PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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87.23.-n
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(Ecology and evolution)
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02.50.Ey
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(Stochastic processes)
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