Stochastic Resonance in a Tumor Cell Growth System Driven by a Colored Noise and Periodic Excitation
Abstract: In this paper, stochastic resonance in a tumor cell growth system driven by a colored noise and periodic excitation is investigated. According to Novikov theorem and unified colored noise theory, the related Fokker-Plank equation and the stable probability density function are obtained. Based on theory, we present the explicit expression of signal-to-noise ratio. Conclusions are that: stochastic resonance produced as noise strength is little and its strength is increased as tumor cell growth rate and amplitude of periodic effect are increased respectively. But the carrying capacity has no obvious impact on the strength of stochastic resonance, however, the more carrying capacity is, the more the required noise strength to attain stochastic resonance is.
文章引用: 李行 , 刘子铭 , 李胜宏 (2015) 色噪声和周期激励下肿瘤细胞增长系统的随机共振。 应用物理， 5， 147-153. doi: 10.12677/APP.2015.511020
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