title: Oscillatory behavior in a lattice prey-predator system.
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.
authors.affiliation: Department of Mathematics, Heriot-Watt University, EH14 4AS Edinburgh, United Kingdom.
authors.forename: A
authors.initials: A
authors.lastname: Lipowski