Bifurcation of a discrete-time predator-prey system

摘要

The dynamics of a discrete-time predator-prey system is researched in the closed first quadrant R+² in this paper. It is shown that the system undergoes flip bifurcation and Neimark-Sacker bifurcation in the interior of the closed first quadrant R+² by using the center manifold theorem and bifurcation theory.