Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction

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dc.creatorMobilia, Mauro
dc.creatorGeorgiev, Ivan T.
dc.creatorTauber, Uwe C.
dc.date2005-08-29
dc.date2006-04-04
dc.date.accessioned2026-07-07T06:43:31Z
dc.date.available2026-07-07T06:43:31Z
dc.descriptionIncluding spatial structure and stochastic noise invalidates the classical Lotka-Volterra picture of stable regular population cycles emerging in models for predator-prey interactions. Growth-limiting terms for the prey induce a continuous extinction threshold for the predator population whose critical properties are in the directed percolation universality class. Here, we discuss the robustness of this scenario by considering an ecologically inspired stochastic lattice predator-prey model variant where the predation process includes next-nearest-neighbor interactions. We find that the corresponding stochastic model reproduces the above scenario in dimensions 1< d \leq 4, in contrast with mean-field theory which predicts a first-order phase transition. However, the mean-field features are recovered upon allowing for nearest-neighbor particle exchange processes, provided these are sufficiently fast.
dc.description5 pages, 4 figures, 2-column revtex4 format. Emphasis on the lattice predator-prey model with next-nearest-neighbor interaction (Rapid Communication in PRE)
dc.identifierhttps://arxiv.org/abs/q-bio/0508043
dc.identifierhttp://arxiv.org/abs/q-bio/0508043
dc.identifierPhys. Rev. E 73, 040903(R) (2006)
dc.identifierdoi:10.1103/PhysRevE.73.040903
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102440
dc.subjectPopulations and Evolution
dc.subjectStatistical Mechanics
dc.subjectPhysics and Society
dc.subjectQuantitative Methods
dc.titleFluctuations and Correlations in Lattice Models for Predator-Prey Interaction
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