Year: 2007
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: de Carvalho, Kelly C., Tomé, Tânia
Institution: Universidade de São Paulo
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: green
OpenAlex ID: W2950377293