Spatial stochastic predator-prey models

Details Spatial stochastic predator-prey models Spatial stochastic predator-prey models

2006-09-25

arxiv.org/abs/q-bio/0609039v1

Banach Center Publications Vol. 80, 253-257 (2008)

Biology

Quantitative Biology

Populations and Evolution

5 pages, 2 figures. Proceedings paper of the workshop "Stochastic models in biological sciences" (May 29 - June 2, 2006 in War

Scientific paper

10.4064/bc80-0-16

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.

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