Population oscillations in spatial stochastic Lotka–Volterra models: a field-theoretic perturbational analysis

DOI10.1088/1751-8113/45/40/405002zbMath1257.82078arXiv1206.2303OpenAlexW2016492848MaRDI QIDQ3168478

Uwe C. Täuber

Publication date: 31 October 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2303

zbMATH Keywords

Monte Carlo simulationsperturbation expansiondirected percolationpredator-prey systemsmean field approximationuniversality classesDoi-Peliti path integralfrequency renormalizationstochastic Lotka-Volterra modelsstructure formation instabilities

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Population dynamics (general) (92D25) Path integrals in quantum mechanics (81S40) Simulation of dynamical systems (37M05) Random dynamical systems (37H99) Renormalization of holomorphic dynamical systems (37F25)

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