Bifurcations of a discrete prey-predator model with Holling type II functional response (Q986645)

A discrete-time prey-predator model with Holling type II was discussed in this paper. Firstly, clarified the parametric conditions of non-hyperbolicity and corrected a known result. Then applyed the center manifold reduction and the method of normal forms to completely discuss bifurcations of codimension 1. Gave bifurcation curves analytically for transcritical bifurcation, flip bifurcation and Neimark-Sacker bifurcation separately, showed bifurcation phenomena not indicated in the previous work for this system.