Complex dynamics in a discrete-time predator-prey system without Allee effect

@article{Chen2013ComplexDI,
  title={Complex dynamics in a discrete-time predator-prey system without Allee effect},
  author={Xian-wei Chen and Xiangling Fu and Zhujun Jing},
  journal={Acta Mathematicae Applicatae Sinica, English Series},
  year={2013},
  volume={29},
  pages={355-376}
}
In this paper, complex dynamics of the discrete-time predator-prey system without Allee effect are investigated in detail. Conditions of the existence for flip bifurcation and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory and checked up by numerical simulations. Chaos, in the sense of Marotto, is also proved by both analytical and numerical methods. Numerical simulations included bifurcation diagrams, Lyapunov exponents, phase portraits, fractal dimensions… CONTINUE READING
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