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Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system |
Jia Zheng-Lin(贾正林)† |
Department of Physics, Yuxi Normal University, Yuxi 653100, Yunnan Province, China |
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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.
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Received: 04 January 2009
Revised: 04 March 2009
Accepted manuscript online:
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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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