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 |
DOI | 10.22436/jnsa.010.04.62 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000407569900062 |
引用统计 | |
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 |
第一作者单位 | 中国科学院海洋研究所 |
推荐引用方式 GB/T 7714 | 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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