The effect of seasonal harvesting on stage-structured population models

doi:10.1007/s00285-003-0243-5

CSpace

	The effect of seasonal harvesting on stage-structured population models
	Tang, SY ; Chen, LS
	2004-04-01
发表期刊	JOURNAL OF MATHEMATICAL BIOLOGY
ISSN	0303-6812
卷号	48 期号:4 页码:357-374
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 an exploited single-species model with stage structure for the dynamics in a fish population for which births occur in a single pulse once per time period. Since birth pulse populations are often characterized with a discrete time dynamical system determined by its Poincare map, we explore the consequences of harvest timing to equilibrium population sizes under seasonal dependence and obtain threshold conditions for their stability, and show that the timing of harvesting has a strong impact on the persistence of the fish population, on the volume of mature fish stock and on the maximum annual-sustainable yield. Moreover, our results imply that the population can sustain much higher harvest rates if the mature fish is removed as early in the season (after the birth pulse) as possible. Further, the effects of harvesting effort and harvest timing on the dynamical complexity are also investigated. Bifurcation diagrams are constructed with the birth rate (or harvesting effort or harvest timing) as the bifurcation parameter, and these are observed to display rich structure, including chaotic bands with periodic windows, pitch-fork and tangent bifurcations, non-unique dynamics (meaning that several attractors coexist) and attractor crisis. This suggests that birth pulse, in effect, provides a natural period or cyclicity that makes the dynamical behavior more complex.
关键词	seasonal harvest stage-structure maximum annual-sustainable yield fish stock birth pulse
DOI	10.1007/s00285-003-0243-5
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:000220497100001
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/669
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	1.Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, SY,Chen, LS. The effect of seasonal harvesting on stage-structured population models[J]. JOURNAL OF MATHEMATICAL BIOLOGY,2004,48(4):357-374.
APA	Tang, SY,&Chen, LS.(2004).The effect of seasonal harvesting on stage-structured population models.JOURNAL OF MATHEMATICAL BIOLOGY,48(4),357-374.
MLA	Tang, SY,et al."The effect of seasonal harvesting on stage-structured population models".JOURNAL OF MATHEMATICAL BIOLOGY 48.4(2004):357-374.