Stochastic Resonance in a Bacterium Growth System Subjected to Colored Noises

摘要

We present the logistic growth model to study the stochastic resonance(SR)in a bacterium growth systemunder the simultaneous action of two external multiplicative cross-correlation noises and periodic external forcing.Theexpression of the signal-to-noise ratio(SNR)for a bacterium growth system is derived by using the theory of SNR inthe adiabatic limit.Based on SNR,we discuss the effects of self-correlation time τ_1 and τ_2,cross-correlation time τ_3and cross-correlation strength λ on the SNR.It is found that the self-correlation time τ_1 and τ_2,and cross-correlationstrength λ enhance the SR of the bacterium growth system,while cross-correlation time τ_3 weakens the SR of thebacterium growth system.