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Density-dependent birth rate, birth pulses and their population dynamic consequences
文献类型：期刊论文
| 作者 | Tang, SY; Chen, LS |
| 刊名 | JOURNAL OF MATHEMATICAL BIOLOGY
 |
| 出版日期 | 2002-02-01 |
| 卷号 | 44期号:2页码:185-199 |
| 关键词 | density-dependent birth pulse Ricker function Beverton-Holt function |
| ISSN号 | 0303-6812 |
| DOI | 10.1007/s002850100121 |
| 英文摘要 | 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. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000174675700005 |
| 出版者 | SPRINGER-VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17693]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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