Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge
文献类型：期刊论文
| 作者 | Zhou, Yong2; Sun, Wen2; Song, Yinfang2; Zheng, Zhigang3; Lu, Jinhu1 ; Chen, Shihua4
|
| 刊名 | NONLINEAR DYNAMICS
 |
| 出版日期 | 2019-07-01 |
| 卷号 | 97期号:2页码:1439-1450 |
| 关键词 | Holling-II type Refuge Hopf bifurcation The largest Lyapunov exponent |
| ISSN号 | 0924-090X |
| DOI | 10.1007/s11071-019-05063-w |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000479263300034 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35392]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Sun, Wen |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China 3.Huaqiao Univ, Coll Informat Sci & Engn, Xiamen 361021, Fujian, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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