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Periodic Measures of Mean-Field Stochastic Predator-Prey System

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  • Zaitang Huang
  • Junfei Cao

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.

Suggested Citation

  • Zaitang Huang & Junfei Cao, 2018. "Periodic Measures of Mean-Field Stochastic Predator-Prey System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-21, November.
    • Handle: RePEc:hin:jnddns:3584354
    DOI: 10.1155/2018/3584354
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