Modern Physics Letters B · 1993 · 20 citations · 0 references
EngineeringBiologyEvolutionary TheoryPopulation GeneticsStochastic ProcessesMarkov ChainsMarkov ProcessesNoiseStatistical MechanicsStochastic Differential EquationsStochastic Processes In BiophysicsColored NoiseNoise ParametersNoise-induced TransitionsStochastic Modeling Of Gene ExpressionWhite Noise
Gene selection model with colored noise term is investigated by means of a new version of approximate effective Markovian equation proposed earlier. The steady-state probability density is derived for the whole range of model and noise parameters. It is proved that at least for the so-called symmetric case, the increase of the colored noise correlation time τ c while the noise intensity D being fixed leads to the same noise-induced transition as the increase of the noise intensity for the white noise case.