Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge

doi:10.1007/s11071-019-05063-w

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	Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge
	Zhou, Yong 1; Sun, Wen 1; Song, Yinfang 1; Zheng, Zhigang 2; Lu, Jinhu3 ; Chen, Shihua 4
	2019-07-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	97 期号:2 页码:1439-1450
摘要	In this paper, a predator-prey model with Holling-II type functional response and a prey refuge is considered. The existence of Hopf bifurcations at the positive fixed point is established by analyzing its distribution of characteristic values. The stability and the directions of Hopf bifurcations of the model are derived for the variation of some crucial parameters. It is shown that these key parameters have a tremendous influence on the coexistence, the oscillation, and the stability of the considered model. Finally, numerical simulations are carried out to illustrate the validity of the results.
关键词	Holling-II type Refuge Hopf bifurcation The largest Lyapunov exponent
DOI	10.1007/s11071-019-05063-w
语种	英语
资助项目	National Natural Science Foundation of China[11547006] ; National Natural Science Foundation of China[61503046] ; National Natural Science Foundation of China[11875135]
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000479263300034
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35393
专题	系统科学研究所
通讯作者	Sun, Wen
作者单位	1.Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China 2.Huaqiao Univ, Coll Informat Sci & Engn, Xiamen 361021, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Wuhan Univ, Coll Math & Stat, Wuhan 430072, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Yong,Sun, Wen,Song, Yinfang,et al. Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge[J]. NONLINEAR DYNAMICS,2019,97(2):1439-1450.
APA	Zhou, Yong,Sun, Wen,Song, Yinfang,Zheng, Zhigang,Lu, Jinhu,&Chen, Shihua.(2019).Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge.NONLINEAR DYNAMICS,97(2),1439-1450.
MLA	Zhou, Yong,et al."Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge".NONLINEAR DYNAMICS 97.2(2019):1439-1450.