Analysis of a stochastic predator-prey system with foraging arena scheme. Issue 2 (17th February 2020)

• Record Type: Journal Article
• Authors: Cai, Yongmei; Cai, Siyang; Mao, Xuerong
• Is Part Of: Stochastics. Volume 92:Issue 2(2020)
• Page Start: 193
• Page End: 222
• Publication Date: 2020-02-17
• Subjects: Stochastic predator-prey model -- Brownian motion -- asymptotic pathwise estimation -- stationary distribution; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2019.1612897
• Languages: English
• ISSNs: 1744-2508

Abstract

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.