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Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting
Wei, Chunjin1; Liu, Junnan1; Chen, Lansun2
2017-08-01
Source PublicationNONLINEAR DYNAMICS
ISSN0924-090X
Volume89Issue:3Pages:2001-2012
AbstractIn 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.
KeywordAllee effect Successor function Order-1 periodic solution Order-1 homoclinic cycle Homoclinic bifurcation
DOI10.1007/s11071-017-3567-1
Language英语
Funding ProjectNatural Science Foundation of China[11301216] ; Natural Science Foundation of China[11371306] ; Fujian Provincial Natural Science Foundation of China[2016J01667]
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000405962800031
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26352
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWei, Chunjin
Affiliation1.Jimei Univ, Sci Coll, Xiamen 361021, Fujian, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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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