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Persistence and extinction of a stochastic delay predator-prey model under regime switching

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Abstract

The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.

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Authors and Affiliations

  1. Guangxi University for Nationalities, Nanning, P.R.China

    Zhen Hai Liu & Qun Liu

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  1. Zhen Hai Liu
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  2. Qun Liu
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Correspondence to Zhen Hai Liu.

Additional information

The research has been supported by NNSF of China Grant Nos. 11271087, 61263006.

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Liu, Z.H., Liu, Q. Persistence and extinction of a stochastic delay predator-prey model under regime switching. Appl Math 59, 331–343 (2014). https://doi.org/10.1007/s10492-014-0058-2

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  • DOI: https://doi.org/10.1007/s10492-014-0058-2

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