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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.

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Acknowledgments

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

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Authors and Affiliations

  1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, People’s Republic of China

    Jian Wu

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  1. Jian Wu
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Correspondence to Jian Wu.

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Wu, J. Analysis of a Three-Species Stochastic Delay Predator-Prey System with Imprecise Parameters. Methodol Comput Appl Probab 21, 43–67 (2019). https://doi.org/10.1007/s11009-018-9640-5

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  • DOI: https://doi.org/10.1007/s11009-018-9640-5

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