Stochastic Resonance in a Bacterium Growth System Subjected to Colored Noises |
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Authors: | ZENG Chun-Hua ZHOU Xiao-Feng TAO Shu-Fen |
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Institution: | 1.Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China
;2.Department of Physics, Qujing Normal University, Qujing 655011, China |
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Abstract: | We present the logistic growth model to study the stochastic resonance (SR) in a bacterium growth system under the simultaneous action of two externalmultiplicative cross-correlation noises and periodic external forcing. The expression of the signal-to-noise ratio (SNR) for a bacterium growth system is derived by using the theory of SNR in the adiabatic limit. Based on SNR, we discuss the effects of self-correlation time τ1 and τ2, cross-correlationtime τ3 and cross-correlation strength λ on the SNR. It is found that the self-correlation time τ1 and τ2, and cross-correlation strength λ enhance the SR of the bacterium growth system, while cross-correlation time τ3 weakens the SR of the bacterium growth system. |
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Keywords: | stochastic resonance bacterium growth system colored noises |
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