Anisotropic probabilistic cellular automaton for a predator-prey system

Details Anisotropic probabilistic cellular automaton for a predator-prey system Anisotropic probabilistic cellular automaton for a predator-prey system

2007-05-08

arxiv.org/abs/0705.1053v1

Biology

Quantitative Biology

Populations and Evolution

13 pages, 4 figures, accepted for publication in Brazilian Journal of Physics

Scientific paper

We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a lattice and interact with an unsymmetrical neighborhood. We look for the effect of the space anisotropy in the characterization of the oscillations of the species population densities. Our study of the probabilistic cellular automaton is based on simple and pair mean-field approximations and explicitly takes into account spatial anisotropy.

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