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• W2040802928 abstract "The associated relaxation time T c and the normalized correlation function C(s) are investigated in the logistic growth system, which is used to describe a tumor cell growth process, driven by two Gaussian white noise sources and the correlation between the additive and multiplicative noise. The expression of T c and C(s), which is the function of noise parameters (additive noise intensity α, multiplicative noise intensity D, correlation intensity λ and correlation time τ), is obtained by using the projection operator method. After introducing noise intensity ratio, a dimensionless parameter R = α/D, and performing the numerical computations, the two case are analyzed: (1) In the growth case, λ and τ play opposite roles on the T c and the C(s). It must emphasize that there is a minimal evolution velocity to appear and the tumor cell numbers is hard to evolve from an arbitrary initial condition to the maximum. (2) In the decay case, λ and τ play same roles on the T c and the C(s). There is a maximal evolution velocity to appear. The noises induce different responses of tumor cells between the growth and decay case." @default.
• W2040802928 created "2016-06-24" @default.
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• W2040802928 date "2008-06-01" @default.
• W2040802928 modified "2023-09-23" @default.
• W2040802928 title "THE RELAXATION TIME AND THE CORRELATION FUNCTION FOR A LOGISTIC GROWTH SYSTEM DRIVEN BY COLORED CROSS-CORRELATION NOISES" @default.
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• W2040802928 doi "https://doi.org/10.1142/s0219477508004398" @default.
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