Periodic Measures of Mean-Field Stochastic Predator-Prey System

Abstract EN

This paper discusses the dynamics of the mean-field stochastic predator-prey system.

We prove the existence and pathwise uniqueness of the solution for stochastic predator-prey systems in the mean-field limit.

Then we show that the solution of the mean-field equation is a periodic measure.

Finally, we study the fluctuations of the periodic in distribution processes when the white noise converges to zero.