In this paper, we consider a dual Internet congestion control algorithm applied to a\r\nnonstandard finite-difference scheme, which responds to congestion signals from the\r\nnetwork. By choosing delay as a bifurcation parameter, the local asymptotic stability\r\nof the positive equilibrium and the existence of Neimark-Sacker bifurcations are\r\nanalyzed. Then the explicit algorithm for determining the direction of Neimark-Sacker\r\nbifurcations and the stability of invariant closed curves are derived. In addition, we\r\ngive specific examples to illustrate the phenomenon that coincides with our\r\ntheoretical results.
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