标题:Dynamics analysis of a stochastic non-autonomous one-predator-two-prey system with Beddington-DeAngelis functional response and impulsive perturbations
作者:Qi, Haokun; Meng, Xinzhu; Feng, Tao
作者机构:[Qi, Haokun; Meng, Xinzhu; Feng, Tao] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China.; [Meng, Xinzhu] Shandon 更多
通讯作者:Meng, XZ;Meng, XZ;Meng, XZ
通讯作者地址:[Meng, XZ]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China;[Meng, XZ]Shandong Univ Sci & Technol, State Key Lab M 更多
来源:ADVANCES IN DIFFERENCE EQUATIONS
出版年:2019
DOI:10.1186/s13662-019-2170-9
关键词:Stochastic one-predator-two-prey; Impulsive effect; Beddington-DeAngelis; functional response; Stochastic permanence; Global attractivity
摘要:In this paper, we explore a stochastic non-autonomous one-predator-two-prey system with Beddington-DeAngelis functional response and impulsive perturbations. First, by using Ito's formula, exponential martingale inequality, Chebyshev's inequality and other mathematical skills, we establish some sufficient conditions for extinction, non-persistence in the mean, weak persistence, persistence in the mean and stochastic permanence of the solution of the stochastic system. Then the limit of the average in time of the sample path of the solution is estimated by two constants. Afterwards, the lower-growth rate and the upper-growth rate of the positive solution are estimated. In addition, sufficient conditions for global attractivity of the system are established. Finally, we carry out some simulations to verify our main results and explain the biological implications: the large stochastic interference is disadvantageous for the persistence of the population and the strong impulsive harvesting can lead to extinct of the population.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067494231&doi=10.1186%2fs13662-019-2170-9&partnerID=40&md5=446ccd05e475fc3746edaf08bdbc7fa8
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