Effect of Time-Delay in the Logistic Growth Model Driven by Weak Signal and White Noise

Effect of delayed time in the logistic growth model subject to weak periodic signal and correlated multiplicative and additive white noise is investigated. Using small time delay approximation, we obtain the expression of the signal-to-noise ratio （SNR）. It is found that the SNR is non-monotonic fun...

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Bibliographic Details
Published in:Chinese physics letters 2010-08, Vol.27 (8), p.31-34, Article 080502
Main Author: 周玉荣
Format: Article
Language:English
Subjects:
Additives
Approximation
Correlation
Logistic
Logistics
Mathematical analysis
Mathematical models
Noise
White noise
乘性白噪声
噪声强度
噪声驱动
延迟效应
延迟时间
弱信号
生长模型
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Summary:Effect of delayed time in the logistic growth model subject to weak periodic signal and correlated multiplicative and additive white noise is investigated. Using small time delay approximation, we obtain the expression of the signal-to-noise ratio （SNR）. It is found that the SNR is non-monotonic functions of the delayed times, the system parameters, the intensities of the multiplicative and additive noise, as well as the correlation strength of the two noises.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/27/8/080502