Frequency Domain Analysis for Hopf Bifurcation in a Delayed Competitive Web-site Model

In this paper, applying frequency domain approach, a
delayed competitive web-site system is investigated. By choosing
the parameter α as a bifurcation parameter, it is found that Hopf
bifurcation occurs as the bifurcation parameter α passes a critical
values. That is, a family of periodic solutions bifurcate from the
equilibrium when the bifurcation parameter exceeds a critical value.
Some numerical simulations are included to justify the theoretical
analysis results. Finally, main conclusions are given.

Authors:

• Changjin Xu
• Yusen Wu

Keywords:

• Web-site system
• stability
• Nyquist criterion
• Hopf bifurcation
• frequency domain.

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