Dynamic complexity of a two-prey one-predator system with impulsive effect

doi:10.1016/j.chaos.2004.12.037

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	Dynamic complexity of a two-prey one-predator system with impulsive effect
	Zhang, YJ ; Xiu, ZL ; Chen, LS
	2005-10-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	26 期号:1 页码:131-139
摘要	In this paper, we investigate the dynamic complexity of a two-prey one-predator system with impulsive perturbation on predator at fixed moments. With the increase of the predation rate for the super competitor, the system displays complicated phenomena including a sequence of direct and inverse cascade of periodic-doubling, chaos, and symmetry breaking bifurcation. Moreover, we discuss the effect of the period of releasing predator on the dynamical behaviors of the unforced continuous system, and find that periodically releasing predator at fixed moments change the properties of the unforced continuous system. We suggest a highly effective method in pest control. The target pest population can be driven to extinction and the non-target pest (or harmless insect) can be permanent by choosing impulsive period, while classical method cannot emulate. (c) 2005 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2004.12.037
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:000229353000016
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/1141
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YJ
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YJ,Xiu, ZL,Chen, LS. Dynamic complexity of a two-prey one-predator system with impulsive effect[J]. CHAOS SOLITONS & FRACTALS,2005,26(1):131-139.
APA	Zhang, YJ,Xiu, ZL,&Chen, LS.(2005).Dynamic complexity of a two-prey one-predator system with impulsive effect.CHAOS SOLITONS & FRACTALS,26(1),131-139.
MLA	Zhang, YJ,et al."Dynamic complexity of a two-prey one-predator system with impulsive effect".CHAOS SOLITONS & FRACTALS 26.1(2005):131-139.