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

Jian Wu ()
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Jian Wu: Nanjing University of Aeronautics and Astronautics

Methodology and Computing in Applied Probability, 2019, vol. 21, issue 1, 43-67

Abstract: 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; 60H10; 60H30; 92D25 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-018-9640-5

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