Stochastic stability of genetic regulatory networks with multiple time-varying delays

This paper investigates the stochastic stability problem of genetic regulatory networks (GRNs) with multiple time-varying delays. Most of the results on the stability of GRNs with delays are based on a model in which the delays of the transcription and translation processes for each gene product take the same value. In this paper, we generalized the model to a differential equation with multiple time-varying delays. Sufficient conditions for the stochastic stability of the GRNs with stochastic noise are obtained. Finally, a simulation example is given to show the effectiveness of the proposed results.