Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response

doi:10.1016/j.amc.2007.02.012

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	Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response
	Lin, Guojian; Hong, Yiguang
	2007-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	190 期号:2 页码:1296-1311
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.
关键词	stability Hopf bifurcation distributed delay predator-prey system normal form center manifold theorem
DOI	10.1016/j.amc.2007.02.012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000248400400031
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4866
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.