Periodic Measures of Mean-Field Stochastic Predator-Prey System

Periodic Measures of Mean-Field Stochastic Predator-Prey System

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,...

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Veröffentlicht in:Discrete dynamics in nature and society 2018-01, Vol.2018 (2018), p.1-21
Hauptverfasser: Huang, Zaitang, Cao, Junfei
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Inequality
Noise
Partial differential equations
Population density
Stochastic models
Variations
White noise
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2018/3584354