Stochastic Lattice Gas Model for a Predator-Prey System

Details Stochastic Lattice Gas Model for a Predator-Prey System Stochastic Lattice Gas Model for a Predator-Prey System

1994-03-09

arxiv.org/abs/hep-lat/9403008v3

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages (RevTEX3.0), 9 figures, IFUSP/P-1102

Scientific paper

10.1103/PhysRevE.49.5073

We propose a stochastic lattice gas model to describe the dynamics of two animal species population, one being a predator and the other a prey. This model comprehends the mechanisms of the Lotka-Volterra model. Our analysis was performed by using a dynamical mean-field approximation and computer simulations. Our results show that the system exhibits an oscillatory behavior of the population densities of prey and predators. For the sets of parameters used in our computer simulations, these oscillations occur at a local level. Mean-field results predict synchronized collective oscillations.

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