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Bifurcation Chaos"],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p> In this paper, we firstly employ the normal form theory of delayed differential equations according to Faria and Magalh\u00e3es to derive the normal form of saddle-node-Hopf bifurcation for the general retarded functional differential equations. Then, the dynamical behaviors of a Leslie\u2013Gower predator\u2013prey model with time delay and nonmonotonic functional response are considered. Specially, the dynamical classification near the saddle-node-Hopf bifurcation point is investigated by using the normal form and the center manifold approaches. 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