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Название: On the existence of the steady state in the stochastic Volterra-Lotka model
Автор: Reddy V.
Nicolis and Prigogine have shown that the Volterra-Lotka model taken as a Markovian stochastic process does not have a steady state, by considering the Fokker-Planck-type equation for small fluctuations. Here we use the exact master equation to show that the only steady state in the model is the trivial one.