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Bifurcations in an Internet congestion control system with distributed delay

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  • Cao, Yang

Abstract

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.

Suggested Citation

  • Cao, Yang, 2019. "Bifurcations in an Internet congestion control system with distributed delay," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 54-63.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:54-63
    DOI: 10.1016/j.amc.2018.10.093
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    1. Huang, Chengdai & Cao, Jinde & Xiao, Min & Alsaedi, Ahmed & Hayat, Tasawar, 2017. "Bifurcations in a delayed fractional complex-valued neural network," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 210-227.
    2. Smaranda Pantea & Bertin Martens, 2016. "The Value of the Internet as Entertainment in Five European Countries," Journal of Media Economics, Taylor & Francis Journals, vol. 29(1), pages 16-30, January.
    3. Hamideh Hamidian & Mohammad T. H. Beheshti, 2018. "A robust fractional-order PID controller design based on active queue management for TCP network," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(1), pages 211-216, January.
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