Wave of chaos: new mechanism of pattern formation in spatio-temporal population dynamics.

@article{Petrovskii2001WaveOC,
  title={Wave of chaos: new mechanism of pattern formation in spatio-temporal population dynamics.},
  author={Sergei V. Petrovskii and Horst Malchow},
  journal={Theoretical population biology},
  year={2001},
  volume={59 2},
  pages={
          157-74
        }
}
The dynamics of a simple prey-predator system is described by a system of two reaction- diffusion equations with biologically reasonable non-linearities (logistic growth of the prey, Holling type II functional response of the predator). We show that, when the local kinetics of the system is oscillatory, for a wide class of initial conditions the evolution of the system leads to the formation of a non-stationary irregular pattern corresponding to spatio-temporal chaos. The chaotic pattern first… 

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