Abstract
The aim of this article is to review our recent work on nonlocal dynamics of non-Gaussian systems arising in a gene regulatory network. We have used the mean exit time, escape probability and maximal likely trajectory to quantify dynamical behaviors of a stochastic differential system with non-Gaussian $$\alpha$$-stable Levy motions, to examine how the non-Gaussianity index and noise intensity affect the gene transcription processes.
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