Global attractors and extinction dynamics of cyclically competing species.

  title={Global attractors and extinction dynamics of cyclically competing species.},
  author={Steffen Rulands and Alejandro Zielinski and Erwin Frey},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={87 5},
Transitions to absorbing states are of fundamental importance in nonequilibrium physics as well as ecology. In ecology, absorbing states correspond to the extinction of species. We here study the spatial population dynamics of three cyclically interacting species. The interaction scheme comprises both direct competition between species as in the cyclic Lotka-Volterra model, and separated selection and reproduction processes as in the May-Leonard model. We show that the dynamic processes leading… 

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