Deterministic and stochastic internet-style networks with delay

Authors:
G. Mircea;M. Neamtu;M. Pirtea;D. Opris
Affiliations:
West University of Timişoara, Romania;West University of Timişoara, Romania;West University of Timişoara, Romania;West University of Timişoara, Romania
Venue:
AIASABEBI'11 Proceedings of the 11th WSEAS international conference on Applied informatics and communications, and Proceedings of the 4th WSEAS International conference on Biomedical electronics and biomedical informatics, and Proceedings of the international conference on Computational engineering in systems applications
Year:
2011

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Abstract

In this paper we investigate the dynamics of the Internet-Style Network with delay using the associated game theory. We establish the existence of the Hopf bifurcation and the normal form. The stochastic system is associated to the deterministic model and the mean values and the square mean values of the variables for the linearized stochastic system are analyzed. The last part of the paper includes numerical simulations and conclusions.