Flashing annihilation term of a logistic kinetic as a mechanism leading   to Pareto distributions
  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. 
Ryszard Zygad{\l}o