Effects of colored noise on stochastic resonance in a tumor cell growth system

The phenomenon of stochastic resonance (SR) in the tumor cell growth model subjected to colored noise with a weakly periodic signal is investigated by using the theory of signal-to-noise ratio (SNR) in the adiabatic limit. The effects of the noise parameters (the multiplicative noise intensity D, the additive noise intensity α, the cross-correlated strength λ and the correlation time τ1, τ2 and τ3) are analyzed by numerical calculation. It is found that the existence of a maximum in the RSNR-α plot, RSNR-λ plot and RSNR-D plot is the identifying characteristic of the SR phenomenon. The two peaks appear in the SNR-α curves simultaneously with the amplitude A increasing.