关联高斯噪声激励下集合种群模型的随机共振

Stochastic resonance in a metapopulation model with correlated gaussian noises

主要研究了关联高斯噪声作用下集合种群模型的随机共振现象,得到了信噪比的解析表达式,分析了关联高斯噪声及周期信号对系统随机共振的影响。研究结果表明:信噪比曲线在乘性噪声强度的影响下,出现了随机共振现象。同时噪声关联强度和信号强度能够增强随机共振现象,而加性噪声强度对随机共振现象有抑制作用。

The stochastic resonance phenomenon in a metapopulation system induced by correlated Gaussian noise is investigated. In the adiabatic limit, the analytical expression of the signal-to-noise （ SNR） ratio is derived. Base on numerical calculation, the effects of the multiplicative noise intensity, the additive noise intensity, the correlated intensity of two noises and the signal intensity on SNR are discussed. The results show that： （ i） a stochastic resonance phenomenon for the curve of SNR appears, as the SNR is the function of the multiplicative noise intensity. （ ii） the correlated intensity of two noises and the signal intensity can enhance the stochastic resonance phenomenon but the additive noise intensity suppress this phenomenon.