Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions

Abstract

It is shown analytically that the flashing annihilation term of a Verhulst kinetic leads to the power--law distribution in the stationary state. For the frequency of switching slower than twice the free growth rate this provides the quasideterministic source of a Levy noises at the macroscopic level.

arXiv comment1 fig

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Cited by in corpus (1)

• Environmental Noise and Nonlinear Relaxation in Biological Systems