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A predator-prey model of dual populations with stochastic oscillators ispresented. A linear cross-coupling between the two populations is introducedfollowing the coupling between the motions of a Wilberforce pendulum in twodimensions: one in the longitudinal and the other in torsional plain. Withineach population a Kuramoto type competition between the phases is assumed.Thus, the synchronisation state of the whole system is controlled by these twotypes of competitions. The results of the numerical simulations show that byadding the linear cross-coupling interactions predator-prey oscillationsbetween the two populations appear which results in self-regulation of thesystem by a transfer of synchrony between the two populations. The modelrepresents several important features of the dynamical interplay between thedrift wave and zonal flow turbulence in magnetically confined plasmas, and anovel interpretation of the coupled dynamics of drift wave-zonal flowturbulence using synchronisation of stochastic oscillator is discussed.

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