Article ID: | iaor20118152 |
Volume: | 54 |
Issue: | 9-10 |
Start Page Number: | 1954 |
End Page Number: | 1965 |
Publication Date: | Nov 2011 |
Journal: | Mathematical and Computer Modelling |
Authors: | Huang Zaitang, Yang Qi-Gui, Cao Junfei |
Keywords: | networks: flow, simulation: applications |
A stochastic differential equation modeling an Internet congestion control model is investigated. By analyzing the Lyapunov exponent, invariant measure and singular boundary theory, some new criteria ensuring stochastic stability and bifurcation are obtained. Numerical simulation results are given to support the theoretical predictions.