SIAM Journal on Mathematical Analysis
Information Sciences: an International Journal
Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
Computers & Mathematics with Applications
Brief paper: Global stability analysis for stochastic coupled systems on networks
Automatica (Journal of IFAC)
Journal of Computational and Applied Mathematics
Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
IEEE Transactions on Neural Networks
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In this paper, stability problem of stochastic functional differential equations on networks (SFDENs) is investigated. Based on the graph theory and Razumikhin technique, some conditions are captured to guarantee that SFDEN is p-th moment and almost sure exponentially stable. Furthermore, the criterion ensuring the exponential stability for stochastic coupled systems on networks with time-varying delay is established, by applying Razumikhin-type theorem. Finally, a numerical example is provided to demonstrate the effectiveness of the theoretical results.