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Oscillatory behaviour in a lattice prey-predator system

Adam Lipowski
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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 behaviour is absent in lower-dimensional models. Finite-size analysis indicate that amplitude of these oscillations is finite even in the thermodynamic limit. In our opinion, this is the first example of a microscopic model with stochastic dynamics which exhibits oscillatory behaviour without any external driving force. We suggest that oscillations in our model are induced by some kind of stochastic resonance.

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BibTeXRIS

Adam Lipowski. 1999-10-07. Oscillatory behaviour in a lattice prey-predator system. https://doi.org/10.1103/physreve.60.5179

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