Multiple attractors in stage-structured population models with birth pulses

doi:10.1016/S0092-8240(03)00005-3

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	Multiple attractors in stage-structured population models with birth pulses
	Tang, SY; Chen, LS
	2003-05-01
发表期刊	BULLETIN OF MATHEMATICAL BIOLOGY
ISSN	0092-8240
卷号	65 期号:3 页码:479-495
摘要	In most models of population dynamics, increases in population due to birth are assumed to be time-independent, but many species reproduce only during a single period of the year. A single species stage-structured model with density-dependent maturation rate and birth pulse is formulated. Using the discrete dynamical system determined by its Poincare map, we report a detailed study of the various dynamics, including (a) existence and stability of nonnegative equilibria, (b) nonunique dynamics, meaning that several attractors coexist, (c) basins of attraction (defined as the set of the initial conditions leading to a certain type of attractor), (d) supertransients, and (e) chaotic attractors. The occurrence of these complex dynamic behaviour is related to the fact that minor changes in parameter or initial values can strikingly change the dynamic behaviours of system. Further, it is shown that periodic birth pulse, in effect, provides a natural period or cyclicity that allows multiple oscillatory solutions in the continuous dynamical systems. (C) 2003 Society for Mathematical Biology. Published by Elsevier Science Ltd. All rights reserved.
DOI	10.1016/S0092-8240(03)00005-3
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000182703500007
出版者	ACADEMIC PRESS LTD 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/18350
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, SY
作者单位	Acad Sinica, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, SY,Chen, LS. Multiple attractors in stage-structured population models with birth pulses[J]. BULLETIN OF MATHEMATICAL BIOLOGY,2003,65(3):479-495.
APA	Tang, SY,&Chen, LS.(2003).Multiple attractors in stage-structured population models with birth pulses.BULLETIN OF MATHEMATICAL BIOLOGY,65(3),479-495.
MLA	Tang, SY,et al."Multiple attractors in stage-structured population models with birth pulses".BULLETIN OF MATHEMATICAL BIOLOGY 65.3(2003):479-495.