Nonequilibrium phase transition in a lattice prey–predator system

Adam Lipowski and Dorota Lipowska

Physica A: Statistical Mechanics and its Applications, 2000, vol. 276, issue 3, 456-464

Abstract: 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.

Date: 2000
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:276:y:2000:i:3:p:456-464

DOI: 10.1016/S0378-4371(99)00482-3

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