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Bifurcation Chaos"],"published-print":{"date-parts":[[2018,10]]},"abstract":"<jats:p>In this paper, we study the dynamics of a nonlinear delay differential equation applied in a nonstandard finite difference method. By analyzing the numerical discrete system, we show that a sequence of Neimark\u2013Sacker bifurcations occur at the equilibrium as the delay increases. Moreover, the existence of local Neimark\u2013Sacker bifurcations is considered, and the direction and stability of periodic solutions bifurcating from the Neimark\u2013Sacker bifurcation of the discrete model are determined by the Neimark\u2013Sacker bifurcation theory of discrete system. 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