# 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…

## 209 Citations

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