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Analysis of a Three-Species Stochastic Delay Predator-Prey System with Imprecise Parameters

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Abstract

In this paper, a stochastic delay three-species food chain model with imprecise biological parameters has been developed. For this model, the sharp sufficient conditions for the existence of a unique ergodic stationary distribution and the extinction are established. We also discuss the effects of imprecise parameters on the persistence, extinction and existence of the stationary distribution.

Keywords

Prey-mesopredator-superpredator model Time delay Imprecise parameters Extinction Stability 

Mathematics Subject Classification (2010)

60H10 60H30 92D25 

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Notes

Acknowledgments

The author thanks the National Natural Science Foundation of P.R. China (Nos. 11401302).

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of ScienceNanjing University of Aeronautics and AstronauticsNanjingPeople’s Republic of China

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