KMS Of Academy of mathematics and systems sciences, CAS
Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting | |
Wei, Chunjin1; Liu, Junnan1; Chen, Lansun2 | |
2017-08-01 | |
发表期刊 | NONLINEAR DYNAMICS |
ISSN | 0924-090X |
卷号 | 89期号:3页码:2001-2012 |
摘要 | In this paper, we investigate a ratio-dependent prey-predator model with state-dependent impulsive harvesting where the prey growth rate is subject to a strong Allee effect. The existence of order-1 homoclinic cycle is obtained, and choosing as a control parameter, the existence, uniqueness and stability of order-1 periodic solution of the system are discussed by means of the geometry theory of semi-continuous dynamic system. We also investigate that system exhibits the phenomenon of homoclinic bifurcation about parameter . Moreover, the numerical simulations are provided to show the main results. The used methods are intuitive to prove the existence of order-1 periodic solution and homoclinic bifurcation. |
关键词 | Allee effect Successor function Order-1 periodic solution Order-1 homoclinic cycle Homoclinic bifurcation |
DOI | 10.1007/s11071-017-3567-1 |
语种 | 英语 |
资助项目 | Natural Science Foundation of China[11301216] ; Natural Science Foundation of China[11371306] ; Fujian Provincial Natural Science Foundation of China[2016J01667] |
WOS研究方向 | Engineering ; Mechanics |
WOS类目 | Engineering, Mechanical ; Mechanics |
WOS记录号 | WOS:000405962800031 |
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/26352 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wei, Chunjin |
作者单位 | 1.Jimei Univ, Sci Coll, Xiamen 361021, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Wei, Chunjin,Liu, Junnan,Chen, Lansun. Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting[J]. NONLINEAR DYNAMICS,2017,89(3):2001-2012. |
APA | Wei, Chunjin,Liu, Junnan,&Chen, Lansun.(2017).Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting.NONLINEAR DYNAMICS,89(3),2001-2012. |
MLA | Wei, Chunjin,et al."Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting".NONLINEAR DYNAMICS 89.3(2017):2001-2012. |
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