Lévy noise induced switch in the gene transcriptional regulatory system.

@article{Xu2012LvyNI,
  title={L{\'e}vy noise induced switch in the gene transcriptional regulatory system.},
  author={Yong Xu and Jing Feng and Juanjuan Li and Huiqing Zhang},
  journal={Chaos},
  year={2012},
  volume={23 1},
  pages={
          013110
        }
}
The study of random fluctuations in a gene transcriptional regulatory system is extended to the case of non-Gaussian Lévy noise, which can describe unpredictable jump changes of the random environment. The stationary probability densities are given to explore the key roles of Lévy noise in a gene transcriptional regulatory system. The results demonstrate that the parameters of Lévy noise, including noise intensity, stability index, and skewness parameter, can induce switches between distinct… 

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