KMS Of Academy of mathematics and systems sciences, CAS
| Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge | |
Zhou, Yong1; Sun, Wen1; Song, Yinfang1; Zheng, Zhigang2; Lu, Jinhu3 ; Chen, Shihua4
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| 2019-07-01 | |
| Source Publication | NONLINEAR DYNAMICS
 |
| ISSN | 0924-090X |
| Volume | 97Issue:2Pages:1439-1450 |
| Abstract | 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. |
| Keyword | Holling-II type Refuge Hopf bifurcation The largest Lyapunov exponent |
| DOI | 10.1007/s11071-019-05063-w |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11547006] ; National Natural Science Foundation of China[61503046] ; National Natural Science Foundation of China[11875135] |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| WOS ID | WOS:000479263300034 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35393 |
| Collection | 系统科学研究所 |
| Corresponding Author | Sun, Wen |
| Affiliation | 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 |
| Recommended Citation 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. |
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