Analysis of a stochastic predator-prey system with foraging arena scheme

Yongmei Cai, Siyang Cai, Xuerong Mao

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This paper focuses on a predator-prey system with foraging arena scheme incorporating stochastic noises. This SDE model is generated from a deterministic framework by the stochastic parameter perturbation. We then study how the correlations of the environmental noises affect the long-time behaviours of the SDE model. Later on the existence of a stationary distribution is pointed out under certain parametric restrictions. Numerical simulations are carried out to substantiate the analytical results.
Original languageEnglish
Number of pages30
JournalStochastics: An International Journal of Probability and Stochastic Processes
Early online date10 May 2019
Publication statusE-pub ahead of print - 10 May 2019


  • stochastic predator-prey model
  • Brownian motion
  • asymptotic pathwise estimation
  • stationary distribution

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