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

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  • Jian Wu

    (Nanjing University of Aeronautics and Astronautics)

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.

Suggested Citation

  • Jian Wu, 2019. "Analysis of a Three-Species Stochastic Delay Predator-Prey System with Imprecise Parameters," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 43-67, March.
    • Handle: RePEc:spr:metcap:v:21:y:2019:i:1:d:10.1007_s11009-018-9640-5
    DOI: 10.1007/s11009-018-9640-5
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    References listed on IDEAS

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    1. Zhao, Yu & Yuan, Sanling & Zhang, Qimin, 2015. "Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 385-396.
    2. da Silva Peixoto, Magda & de Barros, Laécio Carvalho & Bassanezi, Rodney Carlos, 2008. "Predator–prey fuzzy model," Ecological Modelling, Elsevier, vol. 214(1), pages 39-44.
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    Cited by:

    1. Mondal, Bapin & Ghosh, Uttam & Rahman, Md Sadikur & Saha, Pritam & Sarkar, Susmita, 2022. "Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 111-135.
    2. Nguyen, Dang H. & Nguyen, Nhu N. & Yin, George, 2021. "Stochastic functional Kolmogorov equations, I: Persistence," Stochastic Processes and their Applications, Elsevier, vol. 142(C), pages 319-364.

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