| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1007/s00285-009-0299-y |
| Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. | |
| Diekmann O; Gyllenberg M; Metz JAJ; Nakaoka S; de Roos AM | |
| 发表日期 | 2010 |
| 出处 | Journal of Mathematical Biology 61 (2): 277-318 |
| 出版年 | 2010 |
| 语种 | 英语 |
| 摘要 | We consider the interaction between a general size-structured consumer population and an unstructured resource. We show that stability properties and bifurcation phenomena can be understood in terms of solutions of a system of two delay equations (a renewal equation for the consumer population birth rate coupled to a delay differetial equation for the resource concentration). As many results for such systems are available, we can draw rigorous conclusions concerning dynamical behaviour from an analysis of a characteristic equation. We derive the characteristic equation for a fairly general class of population models, including those based on the Kooijman-Metz Daphnia model and a model introduced by Gurney-Nisbet and Jones et al., and next obtain various ecological insights by analytical or numerical studies of special cases. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | Physiologically structured population models Size-structure Delay equations Linearised sability Characteristic equation |
| URL | http://pure.iiasa.ac.at/id/eprint/9250/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129052 |
| 推荐引用方式 GB/T 7714 | Diekmann O,Gyllenberg M,Metz JAJ,et al. Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example.. 2010. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| s00285-009-0299-y.pd（674KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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