  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.
