Nonequilibrium phase transition in a lattice prey–predator system
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.
Year of publication: |
2000
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Authors: | Lipowski, Adam ; Lipowska, Dorota |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 276.2000, 3, p. 456-464
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Publisher: |
Elsevier |
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