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Bifurcations of a discrete prey-predator model with Holling type II functional response. (English) Zbl 1200.37043
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.

MSC:
37G10 Bifurcations of singular points in dynamical systems
39A05 General theory of difference equations
34C23 Bifurcation theory for ordinary differential equations
92D25 Population dynamics (general)
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