2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143709Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al., Nature {\bf 418}, 171 (2002)]. To reach a better theoretical understanding of these phenomena, we consider a paradigmatic spatial model where three species exhibit cyclic dominance. Using an individual-based description, as well as stochastic partial differential and deterministic reaction-diffusion equations, we account for stochastic fluctuations and spatial diffusion at different levels, and show how fascinating patterns of entangled spirals emerge. We rationalize our analysis by computing the spatio-temporal correlation functions and provide analytical expressions for the front velocity and the wavelength of the propagating spiral waves.4 pages of main text, 3 color figures + 2 pages of supplementary material (EPAPS Document). Final version for Physical Review LettersPopulations and EvolutionStatistical MechanicsBiological PhysicsQuantitative Methodstext