Dynamics of a discrete-time predator-prey system

@article{Zhao2016DynamicsOA,
  title={Dynamics of a discrete-time predator-prey system},
  author={Ming Zhao and Zu-xing Xuan and Cuiping Li},
  journal={Advances in Difference Equations},
  year={2016},
  volume={2016},
  pages={1-18}
}
We investigate the dynamics of a discrete-time predator-prey system. Firstly, we give necessary and sufficient conditions of the existence and stability of the fixed points. Secondly, we show that the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation by using center manifold theorem and bifurcation theory. Furthermore, we present numerical simulations not only to show the consistence with our theoretical analysis, but also to exhibit the complex but interesting dynamical… CONTINUE READING
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