Dynamic complexities in predator-prey ecosystem models with age-structure for predator

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	Dynamic complexities in predator-prey ecosystem models with age-structure for predator
	Xiao, Y ; Cheng, DZ ; Tang, SY
	2002-12-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	14 期号:9 页码:1403-1411
摘要	Natural populations, whose generations are non-overlapping, can be modelled by difference equations that describe how the populations evolve in discrete time-steps. In the 1970s ecological research detected chaos and other forms of complex dynamics in simple population dynamics models, initiating a new research tradition in ecology. However, in former studies most of the investigations of complex population dynamics were mainly concentrated on single populations instead of higher dimensional ecological systems. This paper reports a recent study on the complicated dynamics occurring in a class of discrete-time models of predator-prey interaction based on age-structure of predator. The complexities include (a) non-unique dynamics, meaning that several attractors coexist; (b) antimonotonicity; (c) basins of attraction (defined as the set of the initial conditions leading to a certain type of an attractor) with fractal properties, consisting of pattern of self-similarity and fractal basin boundaries; (d) intermittency; (e) supertransients; and (f) chaotic attractors. (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:000178130500009
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/17631
专题	中国科学院数学与系统科学研究院
通讯作者	Xiao, Y
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, 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	Xiao, Y,Cheng, DZ,Tang, SY. Dynamic complexities in predator-prey ecosystem models with age-structure for predator[J]. CHAOS SOLITONS & FRACTALS,2002,14(9):1403-1411.
APA	Xiao, Y,Cheng, DZ,&Tang, SY.(2002).Dynamic complexities in predator-prey ecosystem models with age-structure for predator.CHAOS SOLITONS & FRACTALS,14(9),1403-1411.
MLA	Xiao, Y,et al."Dynamic complexities in predator-prey ecosystem models with age-structure for predator".CHAOS SOLITONS & FRACTALS 14.9(2002):1403-1411.