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

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

2008-01-06

arxiv.org/abs/0801.0842v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX, 6 pages

Scientific paper

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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