Bifurcations in an Internet congestion control system with distributed delay

摘要

The problem of bifurcation of an Internet congestion control system with distributed delay is fully considered. Some criteria of stability and bifurcation conditions for the positive equilibrium of the proposed system are precisely established with the help of the Routh–Hurwitz criterion. Our results extremely extend previous ones, which enhance the stability performance of Internet congestion control system averts network collapse. Finally, numerical simulations are provided to verify the theoretical analysis.