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Stochastic foraging arena interaction of modified Leslie-type with correlated Brownian motions under regime switching
  • Yongmei Cai,
  • YUYUAN LI,
  • Xuerong Mao
Yongmei Cai
University of Nottingham - Ningbo China
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YUYUAN LI
Shanghai University of Engineering Science
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Xuerong Mao
University of Strathclyde
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Abstract

In this paper we incorporate the white noise and Markovian switching into the modified Leslie-type predator-prey model with foraging arena scheme. Especially, the parametric conditions for the system to be permanent or extinct are investigated. Inspired by \cite{Dieu2016classification,hening2017stochastic}, we also consider how the correlations between the Brownian motions affect the population interactions. Numerical simulations are carried out to substantiate the analytical results.