Rich dynamics and anticontrol of extinction in a prey–predator system

  title={Rich dynamics and anticontrol of extinction in a prey–predator system},
  author={Marius-F. Danca and Michal Feckan and Nikolay V. Kuznetsov and Guanrong Chen},
  journal={Nonlinear Dynamics},
  pages={1421 - 1445}
This paper reveals some new and rich dynamics of a two-dimensional prey–predator system and to anticontrol the extinction of one of the species. For a particular value of the bifurcation parameter, one of the system variable dynamics is going to extinct, while another remains chaotic. To prevent the extinction, a simple anticontrol algorithm is applied so that the system or bits can escape from the vanishing trap. As the bifurcation parameter increases, the system presents quasiperiodic, stable… 
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Chaotic dynamics of a discrete predator-prey system with prey refuge

  • D. Jana
  • Environmental Science
    Appl. Math. Comput.
  • 2013

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