Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator

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	Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
	Liu, XN ; Chen, LS
	2003-03-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	16 期号:2 页码:311-320
摘要	This paper develops the Holling type II Lotka-Volterra predator-prey system, which may inherently oscillate, by introducing periodic constant impulsive immigration of predator. Condition for the system to be extinct is given and permanence condition is established via the method of comparison involving multiple Liapunov functions. Further influences of the impulsive perturbations on the inherent oscillation are studied numerically, which shows that with the increasing of the amount of the immigration, the system experiences process of quasi-periodic oscillating --> cycles --> periodic doubling cascade --> chaos --> periodic halfing cascade cycles, which is characterized by (1) quasi-periodic oscillating, (2) period doubling, (3) period halfing, (4) non-unique dynamics, meaning that several attractors coexist. (C) 2002 Elsevier Science Ltd. All rights reserved.
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000180349800015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18104
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, XN
作者单位	1.SW China Normal Univ, Dept Math, Chongqing 400715, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, XN,Chen, LS. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator[J]. CHAOS SOLITONS & FRACTALS,2003,16(2):311-320.
APA	Liu, XN,&Chen, LS.(2003).Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator.CHAOS SOLITONS & FRACTALS,16(2),311-320.
MLA	Liu, XN,et al."Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator".CHAOS SOLITONS & FRACTALS 16.2(2003):311-320.