Stochastic Resonance in the Tumour Cell Growth Model

The phenomenon of stochastic resonance (SR) in the tumour cell growth model subjected cross-correlated noises is investigated. When a weakly periodic signal is added to the system, the signal-to-noise ratio R_SNR is derived by the quasi-steady-state probability distribution function and the adiabatic elimination method. Based on the derived R_SNR, the effects of these parameters (the cross-correlated strength λ and the cross-correlated time τ) are analysed by numerical calculation. It is found that the existence of a maximum in R_SNR is the identifying characteristic of the SR phenomenon. The maximum of R_SNR decreases with the increase of λ and increases with the increase of τ.