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<h3 class="resulttitle">Stability and Hopf bifurcation in a delayed feedback control competitive websites model</h3>

Abstract: This paper studies a dynamic model of two websites competition model with feedback control. Stability of the<br />equilibrium and local Hopf bifurcation in delayed two websites competition model with feedback control are both<br />investigated. The results showed that when the time delay is increase, the equilibrium will lose its stability and a<br />sequence of Hopf bifurcations will occur. Numerical example illustrates the obtained results.