Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system

doi:10.1088/1674-1056/19/2/020504

Abstract This paper investigates the stochastic resonance (SR) phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio $R_{\rm SNR}$ is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength $\lambda$ and the delay time $\tau$ on $R_{\rm SNR}$ are respectively discussed. The existence of a peak in the curves of $R_{\rm SNR}$ as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that $\lambda$ and $\tau$ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing $\lambda$ whereas it is enhanced with the increase of $\tau$, which is different from the case where the periodic signal is additive.

Keywords: time delay cross-correlated noise stochastic resonance cancer growth system

Received: 04 January 2009
Revised: 04 March 2009
Accepted manuscript online:

PACS:	87.19.X-	(Diseases)
	87.17.Ee	(Growth and division)
	87.10.-e	(General theory and mathematical aspects)
	02.50.Ey	(Stochastic processes)
	05.40.Ca	(Noise)

Fund: Project supported by the Natural Science Foundation of Yunnan Province of China (Grant No.~2008CD214).

Cite this article:

Jia Zheng-Lin(贾正林) Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system 2010 Chin. Phys. B 19 020504

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Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system

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