Oscillatory behavior in a lattice prey-predator system

Adam Lipowski

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


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 languageEnglish
Pages (from-to)5179-5184
Number of pages6
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5 A
Publication statusPublished - Nov 1999


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