  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 synchronisation 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 synchronisation of stochastic oscillator is discussed.
