Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion

doi:10.1016/j.apm.2014.09.007

	Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion
	Zhang, Li-Yuan
	2015-02
发表期刊	APPLIED MATHEMATICAL MODELLING
卷号	39 期号:3-4 页码:1369-1382
摘要	In this paper we consider a three-species model with Monod-Haldane functional response and diffusion. By analyzing the associated characteristic equation, we demonstrate the local stability of the positive equilibrium and the existence of Hopf bifurcation. We can derive explicit formulas to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solution using the normal form method and center manifold theorem. Numerical simulations illustrate the results. (C) 2014 Elsevier Inc. All rights reserved.
关键词	Hopf bifurcation Stability Feedback delays Diffusion Monod-Haldane function
DOI	10.1016/j.apm.2014.09.007
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	0307-904X
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000349192700030
出版者	ELSEVIER SCIENCE INC
EI入藏号	20145200378251
EI主题词	Hopf bifurcation
EI分类号	731.1 Control Systems ; 921 Mathematics ; 931 Classical Physics ; Quantum Theory ; Relativity ; 961 Systems Science
原始文献类型	Journal article (JA)
EISSN	1872-8480
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/13135
专题	信息工程与人工智能学院
作者单位	Lanzhou Univ Finance & Econ, Sch Informat Engn, Dept Math, Lanzhou 730020, Peoples R China
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Zhang, Li-Yuan. Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion[J]. APPLIED MATHEMATICAL MODELLING,2015,39(3-4):1369-1382.
APA	Zhang, Li-Yuan.(2015).Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion.APPLIED MATHEMATICAL MODELLING,39(3-4),1369-1382.
MLA	Zhang, Li-Yuan."Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion".APPLIED MATHEMATICAL MODELLING 39.3-4(2015):1369-1382.

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