TY - JFULL AU - Changjin Xu and Yusen Wu PY - 2015/3/ TI - Frequency Domain Analysis for Hopf Bifurcation in a Delayed Competitive Web-site Model T2 - International Journal of Mathematical and Computational Sciences SP - 137 EP - 141 VL - 9 SN - 1307-6892 UR - https://publications.waset.org/pdf/10004338 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 98, 2015 N2 - 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. ER -