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Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting

文献类型：期刊论文

作者Wei, Chunjin1; Liu, Junnan1; Chen, Lansun2
刊名NONLINEAR DYNAMICS
出版日期2017-08-01
卷号89期号:3页码:2001-2012
关键词Allee effect Successor function Order-1 periodic solution Order-1 homoclinic cycle Homoclinic bifurcation
ISSN号0924-090X
DOI10.1007/s11071-017-3567-1
英文摘要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.
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
语种英语
WOS记录号WOS:000405962800031
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/26351]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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