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Stochastic Lattice Gas Model for a Predator-Prey System

Authors
  • Satulovsky, Javier
  • Tome, Tania
Type
Preprint
Publication Date
Mar 14, 1994
Submission Date
Mar 09, 1994
Identifiers
DOI: 10.1103/PhysRevE.49.5073
Source
arXiv
License
Unknown
External links

Abstract

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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