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Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps
Zhang, Yanhua1,2,3
2017
发表期刊JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
卷号10期号:4页码:2079-2093
文章类型Article
摘要In this paper, a non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps is studied. Firstly, we show that this model has a unique global positive solution under certain conditions. Then, we discuss the sufficient conditions for stochastically ultimate boundedness and obtain the asymptotic behavior of the solution. Finally, sufficient criteria for extinction of all prey and predator species, stochastic weak persistence in the mean of prey species are established. (C) 2017 All rights reserved.
关键词Gilpin-ayala Predator-prey Model Jumps Moment Boundedness Asymptotic Behavior Extinction
DOI10.22436/jnsa.010.04.62
收录类别SCI
语种英语
WOS记录号WOS:000407569900062
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文献类型期刊论文
版本出版稿
条目标识符http://ir.qdio.ac.cn/handle/337002/143100
专题海洋地质与环境重点实验室
海洋环流与波动重点实验室
作者单位1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.China Univ Petr, Coll Sci, Qingdao 266580, Peoples R China
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Zhang, Yanhua. Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS,2017,10(4):2079-2093.
APA Zhang, Yanhua.(2017).Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps.JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS,10(4),2079-2093.
MLA Zhang, Yanhua."Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps".JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 10.4(2017):2079-2093.
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