Periodic measures of mean-field stochastic predator-prey system (Q1727072)
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scientific article; zbMATH DE number 7026559
| Language | Label | Description | Also known as |
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| English | Periodic measures of mean-field stochastic predator-prey system |
scientific article; zbMATH DE number 7026559 |
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Periodic measures of mean-field stochastic predator-prey system (English)
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20 February 2019
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Summary: 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.
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