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arXiv 0801.0842nlin.CDnlin.SI
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随机扰动下精确可解Verhulst模型的矩的时间依赖性

Time dependence of moments of an exactly solvable Verhulst model under random perturbations

V. M. Loginov

摘要:

给出了马尔可夫色二分噪声驱动的随机Verhulst模型的一点矩的显式表达式。证明了矩是给定的指数递减函数。渐近行为(大时间)的时刻是由一个单一的下降指数。

英文摘要:

Explicit expressions for one point moments corresponding to stochastic Verhulst model driven by Markovian coloured dichotomous noise are presented. It is shown that the moments are the given functions of a decreasing exponent. The asymptotic behavior (for large time) of the moments is described by a single decreasing exponent.

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