Spatial stochastic predator-prey models

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 "a' 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.

5 pages, 2 figures. Proceedings paper of the workshop "Stochastic models in biological sciences" (May 29 - June 2, 2006 in Warsaw) for the Banach Center Publications

References in corpus (5)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction
• Phase Transitions and Oscillations in a Lattice Prey-Predator Model
• Influence of local carrying capacity restrictions on stochastic predator-prey models
• Oscillations and dynamics in a two-dimensional prey-predator system

Cited by in corpus (1)

• Choose interelement coupling to preserve self-adjoint dynamics in multiscale modelling and computation