Oscillatory behaviour in a lattice prey-predator system

Details Oscillatory behaviour in a lattice prey-predator system Oscillatory behaviour in a lattice prey-predator system

1999-10-07

arxiv.org/abs/cond-mat/9910095v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 10 figures, Phys.Rev.E (Nov. 1999)

Scientific paper

10.1103/PhysRevE.60.5179

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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