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It is shown analytically that the flashing annihilation term of a Verhulstkinetic leads to the power--law distribution in the stationary state. For thefrequency of switching slower than twice the free growth rate this provides thequasideterministic source of a Levy noises at the macroscopic level.Comment: 1 fi

Power-law distribution as a result of asynchronous random switching between Malthus and Verhulst kinetics