Before revision: We investigate the dynamical effects of non-Gaussian asymmetric stable L\'evy noisy fluctuations on the evolution of the transcription factor activator in the kinetic concentration model of a single genetic regulation system.
After revision: We investigate the dynamical effects of non-Gaussian asymmetric stable L\'evy fluctuations on the evolution of the transcription factor activator in the kinetic concentration model of a single genetic regulation system.