Dynamic of a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments  

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作  者:Yongxin Gao Nana Wang Shiquan Tian 

机构地区:[1]College of Science,Civil Aviation University of China,Tianjin 300300,P.R.China

出  处:《International Journal of Biomathematics》2021年第1期125-150,共26页生物数学学报(英文版)

基  金:The work is supported by the National Science Foundation of China(No.11672326);Scientific Research Project of Tianjin Municipal Education Commission(No.2019K.J131);the Fundamental Research Funds for the Central Universities(No.ZXH2012K004).

摘  要:This paper is concerned with a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments.First,under some simple assumptions,we prove that there exists a unique global nonnegative solution which is permanent in time average.Moreover,sufficient criteria for the extinction of each species are obtained.Finally,we carry out some numerical simulations to verify the theoretical results.

关 键 词:One-predator two-prey model delay white noise Levy noise TOXICANT 

分 类 号:O17[理学—数学]

 

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