Spatial stochastic predator-prey models

Mauro Mobilia, Ivan T. Georgiev, and Uwe C. Täuber. "Spatial stochastic predator-prey models." Banach Center Publications 80.1 (2008): 253-257. <http://eudml.org/doc/282422>.

@article{MauroMobilia2008,
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.},
author = {Mauro Mobilia, Ivan T. Georgiev, Uwe C. Täuber},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {253-257},
title = {Spatial stochastic predator-prey models},
url = {http://eudml.org/doc/282422},
volume = {80},
year = {2008},
}

TY - JOUR
AU - Mauro Mobilia
AU - Ivan T. Georgiev
AU - Uwe C. Täuber
TI - Spatial stochastic predator-prey models
JO - Banach Center Publications
PY - 2008
VL - 80
IS - 1
SP - 253
EP - 257
AB - 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.
LA - eng
UR - http://eudml.org/doc/282422
ER -