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

doi:10.1007/s11071-017-3567-1

CSpace

	Homoclinic bifurcation of a ratio-dependent predator-prey system with impulsive harvesting
	Wei, Chunjin 1; Liu, Junnan 1; Chen, Lansun 2
	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.