Density-dependent birth rate, birth pulses and their population dynamic consequences

doi:10.1007/s002850100121

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	Density-dependent birth rate, birth pulses and their population dynamic consequences
	Tang, SY; Chen, LS
	2002-02-01
发表期刊	JOURNAL OF MATHEMATICAL BIOLOGY
ISSN	0303-6812
卷号	44 期号:2 页码:185-199
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. We propose a single-species model with stage structure for the dynamics in a wild animal population for which births occur in a single pulse once per time period. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which are with Ricker functions or Beverton-Holt functions, and obtain the threshold conditions for their stability. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behaviors of the single species model with birth pulses are very complex, including small-amplitude annual oscillations, large-amplitude multi-annual cycles, and chaos. This suggests that birth pulse, in effect, provides a natural period or cyclicity that allows for a period-doubling route to chaos.
关键词	density-dependent birth pulse Ricker function Beverton-Holt function
DOI	10.1007/s002850100121
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:000174675700005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17694
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, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, SY,Chen, LS. Density-dependent birth rate, birth pulses and their population dynamic consequences[J]. JOURNAL OF MATHEMATICAL BIOLOGY,2002,44(2):185-199.
APA	Tang, SY,&Chen, LS.(2002).Density-dependent birth rate, birth pulses and their population dynamic consequences.JOURNAL OF MATHEMATICAL BIOLOGY,44(2),185-199.
MLA	Tang, SY,et al."Density-dependent birth rate, birth pulses and their population dynamic consequences".JOURNAL OF MATHEMATICAL BIOLOGY 44.2(2002):185-199.