Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response
文献类型:期刊论文
作者 | Lin, Guojian; Hong, Yiguang![]() |
刊名 | APPLIED MATHEMATICS AND COMPUTATION
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出版日期 | 2007-07-15 |
卷号 | 190期号:2页码:1296-1311 |
关键词 | stability Hopf bifurcation distributed delay predator-prey system normal form center manifold theorem |
ISSN号 | 0096-3003 |
DOI | 10.1016/j.amc.2007.02.012 |
英文摘要 | The Beddington-DeAngelis predator-prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean,delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numerical simulations are also given to illustrate the results. (c) 2007 Elsevier Inc. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000248400400031 |
出版者 | ELSEVIER SCIENCE INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4865] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Lin, Guojian |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Guojian,Hong, Yiguang. Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,190(2):1296-1311. |
APA | Lin, Guojian,&Hong, Yiguang.(2007).Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response.APPLIED MATHEMATICS AND COMPUTATION,190(2),1296-1311. |
MLA | Lin, Guojian,et al."Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response".APPLIED MATHEMATICS AND COMPUTATION 190.2(2007):1296-1311. |
入库方式: OAI收割
来源:数学与系统科学研究院
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