Entropy production in the cyclic lattice Lotka-Volterra model
نویسندگان
چکیده
منابع مشابه
Fixation in a cyclic Lotka-Volterra model
We study a cyclic Lotka-Volterra model of N interacting species populating a d-dimensional lattice. In the realm of a Kirkwood approximation, a critical number of species Nc(d) above which the system fixates is determined analytically. We find Nc = 5, 14, 23 in dimensions d = 1, 2, 3, in remarkably good agreement with simulation results in two dimensions. A cyclic variant of the Lotka-Volterra ...
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Cyclic dominance of species has been identified as a potential mechanism to maintain biodiversity, see, e.g., B. Kerr, M. A. Riley, M. W. Feldman and B. J. M. Bohannan [Nature 418, 171 (2002)] and B. Kirkup and M. A. Riley [Nature 428, 412 (2004)]. Through analytical methods supported by numerical simulations, we address this issue by studying the properties of a paradigmatic non-spatial three-...
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We employ Monte Carlo simulations to study a stochastic Lotka-Volterra model on a two-dimensional square lattice with periodic boundary conditions. If the (local) prey carrying capacity is finite, there exists an extinction threshold for the predator population that separates a stable active two-species coexistence phase from an inactive state wherein only prey survive. Holding all other rates ...
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L. Frachebourg, 1,2 P. L. Krapivsky, 3,1 and E. Ben-Naim Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215 Laboratoire de Physique Statistique, ENS, 24 rue Lhomond, 75231 Paris Cedex 05, France Courant Institute of Mathematical Sciences, New York University, New York, New York 10012-1185 The James Franck Institute, The University of Chicago, Ch...
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Competitive birth-death processes often exhibit an oscillatory behavior. We investigate a particular case where the oscillation cycles are marginally stable on the mean-field level. An iconic example of such a system is the Lotka-Volterra model of predator-prey competition. Fluctuation effects due to discreteness of the populations destroy the mean-field stability and eventually drive the syste...
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2004
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2004-00379-2