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Phase Transitions and Spatio-Temporal Fluctuations in Stochastic Lattice Lotka–Volterra Models
2006
Journal of statistical physics
We study the general properties of stochastic two-species models for predator-prey competition and coexistence with Lotka-Volterra type interactions defined on a d-dimensional lattice. Introducing spatial degrees of freedom and allowing for stochastic fluctuations generically invalidates the classical, deterministic mean-field picture. Already within mean-field theory, however, spatial constraints, modeling locally limited resources, lead to the emergence of a continuous active-to-absorbing
doi:10.1007/s10955-006-9146-3
fatcat:movsshzk4vbt3l3jylacbsm7gm