Stability and Hopf bifurcation in a three-species system with feedback delays

doi:10.1007/s11071-010-9866-4

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	Stability and Hopf bifurcation in a three-species system with feedback delays
	Meng, Xin-You; Huo, Hai-Feng; Zhang, Xiao-Bing; Xiang, Hong
刊名	NONLINEAR DYNAMICS
	2011-06
卷号	64 期号:4 页码:349-364
关键词	Stability Hopf bifurcation Feedback delays Functional response
ISSN号	0924-090X
DOI	10.1007/s11071-010-9866-4
英文摘要	A kind of three-species system with Holling type II functional response and feedback delays is introduced. By analyzing the associated characteristic equation, its local stability and the existence of Hopf bifurcation are obtained. We derive explicit formulas to determine the direction of the Hopf bifurcation and the stability of periodic solution bifurcated out by using the normal-form method and center manifold theorem. Numerical simulations confirm our theoretical findings.
资助项目	NNSF of China[10961018] ; Chinese Ministry of Education[209131] ; NSF of Bureau of Education of Gansu Province of China[0803-01] ; Lanzhou University of Technology[Q200703]
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000290986200005
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35094]
专题	理学院材料科学与工程学院学科建设与学位办公室
通讯作者	Huo, Hai-Feng
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xin-You,Huo, Hai-Feng,Zhang, Xiao-Bing,et al. Stability and Hopf bifurcation in a three-species system with feedback delays[J]. NONLINEAR DYNAMICS,2011,64(4):349-364.
APA	Meng, Xin-You,Huo, Hai-Feng,Zhang, Xiao-Bing,&Xiang, Hong.(2011).Stability and Hopf bifurcation in a three-species system with feedback delays.NONLINEAR DYNAMICS,64(4),349-364.
MLA	Meng, Xin-You,et al."Stability and Hopf bifurcation in a three-species system with feedback delays".NONLINEAR DYNAMICS 64.4(2011):349-364.