Power-law distribution as a result of asynchronous random switching between Malthus and Verhulst kinetics.
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 Lévy noise at the macroscopic level.
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Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland.