STOCHASTIC TRANSIENTS OF NOISY LOTKA-VOLTERRA MODEL

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39395

Title:	STOCHASTIC TRANSIENTS OF NOISY LOTKA-VOLTERRA MODEL
Authors:	LEUNG,HK
Contributors:	物理研究所
Date:	1991
Issue Date:	2010-07-08 14:14:36 (UTC+8)
Publisher:	中央大學
Abstract:	A Lotka-Volterra model system perturbed by external noises is investigated in detail. Spatial homogeneity is assumed over the reacting system. External white noises are realized either as additional random forces in rate equations, or as rapid fluctuating parts of various rate parameters. Transient properties are described in terms of the average concentrations together with the fluctuations and correlation among them. The system which is marginally stable in deterministic theory, turns out to be unstable due to noises. Fluctuations are found to be increasing with noise intensities. For a given value of noise intensity, fluctuations are oscillating and increasing monotonically with time. The closed phase trajectories are found to be spiraling toward absorbing boundaries. Approximate period can be determined numerically to demonstrate the noise-induced slowing-down phenomenon. It is found that period always increases with noise intensity, and that successive cycles take longer and longer period. Due to fluctuations, a Lyapunov function of the system is found to be more positive and oscillating with time. The time rate of change of this function is derived analytically, and is found to have distinct contributions from the intrinsic and extrinsic stochasticities.
Relation:	CHINESE JOURNAL OF PHYSICS
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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