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

Yongmei Cai, Siyang Cai, Xuerong Mao

Research output: Journal PublicationArticlepeer-review

3 Citations (Scopus)

Abstract

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
Pages (from-to)193-222
Number of pages30
JournalStochastics
Volume92
Issue number2
DOIs
Publication statusPublished - 17 Feb 2020
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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