Spatial stochastic predator-prey models
Volume 80 / 2008
Banach Center Publications 80 (2008), 253-257
MSC: Primary 92D25; Secondary 82C26, 82C31.
DOI: 10.4064/bc80-0-16
Abstract
We consider a broad class of stochastic lattice predator-prey models whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey models with an interaction à la Lotka-Volterra. We also show how a drastically different behavior can emerge as the result of a subtle interplay between long-range interactions and a nearest-neighbor exchange process.
