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

  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},
  volume={59 2},
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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    Proceedings of the Royal Society of London. Series B: Biological Sciences
  • 1993
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  • Environmental Science
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  • 2000
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