Predator-prey model for the self-organization of stochastic oscillators in dual populations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sara MoradiOzgür D Gürcan

Abstract

A predator-prey model of dual populations with stochastic oscillators is presented. A linear cross-coupling between the two populations is introduced following the coupling between the motions of a Wilberforce pendulum in two dimensions: one in the longitudinal and the other in torsional plain. Within each population a Kuramoto-type competition between the phases is assumed. Thus, the synchronization state of the whole system is controlled by these two types of competitions. The results of the numerical simulations show that by adding the linear cross-coupling interactions predator-prey oscillations between the two populations appear, which results in self-regulation of the system by a transfer of synchrony between the two populations. The model represents several important features of the dynamical interplay between the drift wave and zonal flow turbulence in magnetically confined plasmas, and a novel interpretation of the coupled dynamics of drift wave-zonal flow turbulence using synchronization of stochastic oscillator is discussed.

References

Apr 18, 1994·Physical Review Letters·P H DiamondP W Terry
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H Daido
Jul 1, 1920·Proceedings of the National Academy of Sciences of the United States of America·A J Lotka
Mar 17, 2011·Physical Review Letters·G D ConwayUNKNOWN ASDEX Upgrade Team
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Bernard Sonnenschein, Lutz Schimansky-Geier

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