Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2006-09-25
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.
Georgiev Ivan T.
Mobilia Mauro
T"auber Uwe C.
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