Nonequilibrium phase transition in a lattice prey-predator system

Adam Lipowski, Dorota Lipowska

Research output: Contribution to journalArticlepeer-review

66 Citations (Scopus)


We study a lattice model of a prey-predator system. Mean-field approximation predicts that the active phase, i.e., one with a finite fraction of preys and predators, is a generic phase of this model. Moreover, within this approximation the model exhibits quasi-oscillations resembling Lotka-Volterra systems. However, Monte Carlo simulations for a one-, two-, and three-dimensional versions of this model do not support this scenario and predict that at a certain value of some parameter the model enters the absorbing state, i.e., a state where the entire population of predators dies out and the model is invaded by preys. Simulations for the one-dimensional version indicate that the transition into the absorbing state belongs to the directed percolation universality class.

Original languageEnglish
Pages (from-to)456-464
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Issue number3-4
Publication statusPublished - 15 Feb 2000


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