Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response

doi:10.1007/s11071-019-05235-8

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	Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response
	Zhang, Meng 1,2; Chen, Lansun 3; Li, Zeyu 4
	2019-10-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	98 期号:2 页码:929-942
摘要	Keeping ecological balance between prey and predator population in ocean fishery is of great importance in fishery. A free developed two species prey-predator model with Holling-II functional response is carried out, and its fine case equilibrium is discussed. Then, the state feedback model which assumes the harvest of predator and supplement of prey as impulsive disturbance is presented to find the dynamical balance between prey and predator population. The existence of homoclinic cycle and order-1 periodic solution and the orbital asymptotical stability of the order-1 periodic solution are proved. Finally, some numerical simulations are displayed to confirm the results obtained in the paper.
关键词	State feedback Impulsive model Homoclinic bifurcation Order-1 periodic solution
DOI	10.1007/s11071-019-05235-8
收录类别	SCI
语种	英语
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000496808000005
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/50384
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Meng
作者单位	1.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Beijing Technol & Business Univ, Canvard Coll, Beijing 101118, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Meng,Chen, Lansun,Li, Zeyu. Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response[J]. NONLINEAR DYNAMICS,2019,98(2):929-942.
APA	Zhang, Meng,Chen, Lansun,&Li, Zeyu.(2019).Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response.NONLINEAR DYNAMICS,98(2),929-942.
MLA	Zhang, Meng,et al."Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response".NONLINEAR DYNAMICS 98.2(2019):929-942.