非高斯噪声激励的肿瘤增长系统的多重随机共振现象

Stochastic multi-resonance in a cancer growth system with non-Gaussian noise

摘要:

本文研究了以捕食-食饵模型为基础的肿瘤增长系统在非高斯噪声及高斯噪声联合作用下的随机共振，根据路径积分法及绝热近似理论得到信噪比的解析表达式，进而研究了关联非高斯噪声与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、加性噪声强度及非高斯参数q的影响下，均出现了多重随机共振现象. 此外，噪声关联强度和噪声自关联时间都能够增强随机共振现象.

Abstract:

Stochastic resonance and stochastic multi-resonance of a cancer growth model modulated by non-Gaussian noise and Gaussian noise are investigated in terms of the path integral approach and the adiabatic limit. The expression of signal-to-noise ratio (SNR) is obtained. The numerical results indicate that the SNR exhibits stochastic multi-resonance behavior when the SNR is a function of the multiplicative noise intensity, additive noise intensity, or the parameter of the non-Gaussian noise q. Meanwhile, it is also shown that the cross-correlation intensity and the self-correlation time can enhance the phenomenon of stochastic resonance.