Periodic Measures of Mean-Field Stochastic Predator-Prey System

Zaitang Huang and Junfei Cao

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-21

Abstract:

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3584354

DOI: 10.1155/2018/3584354

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