### Abstract

Using Monte Carlo simulations we study a lattice model of a prey-predator system. We show that in the three-dimensional model populations of preys and predators exhibit coherent periodic oscillations but such a behavior is absent in lower-dimensional models. Finite-size analysis indicate that amplitude of these oscillations is finite even in the thermodynamic limit. This is an example of a microscopic model with stochastic dynamics which exhibits oscillatory behavior without any external driving force. We suggest that oscillations in our model are induced by some kind of stochastic resonance.

Original language | English |
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Pages (from-to) | 5179-5184 |

Number of pages | 6 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 60 |

Issue number | 5 A |

Publication status | Published - Nov 1999 |

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## Cite this

Lipowski, A. (1999). Oscillatory behavior in a lattice prey-predator system.

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,*60*(5 A), 5179-5184.