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

doi:10.1007/s11071-019-05235-8

	Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response
	Zhang, Meng 1,3; Chen, Lansun 4; Li, Zeyu 2
刊名	NONLINEAR DYNAMICS
	2019-10-01
卷号	98 期号:2 页码:929-942
关键词	State feedback Impulsive model Homoclinic bifurcation Order-1 periodic solution
ISSN号	0924-090X
DOI	10.1007/s11071-019-05235-8
英文摘要	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.
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000496808000005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50383]
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.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 2.Beijing Technol & Business Univ, Canvard Coll, Beijing 101118, Peoples R China 3.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, 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.