| 来源类型 | Monograph (IIASA Interim Report)
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| 规范类型 | 报告
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| Daphnias: From the individual based model to the large population equation. |
| Metz JAJ; Tran VC
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| 发表日期 | 2012
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| 出版者 | IIASA, Laxenburg, Austria: IR-12-055
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| 出版年 | 2012
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| 语种 | 英语
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| 摘要 | The class of deterministic 'Daphnia' models treated by Diekmann et al. (J Math Biol 61: 277-318, 2010) has a long history going back to Nisbet and Gurney (Theor Pop Biol 23: 114-135, 1983) and Diekmann et al. (Nieuw Archief voor Wiskunde 4: 82-109, 1984). In this note, we formulate the individual based models (IBM) supposedly underlying those deterministic models. The models treat the in- teraction between a general size-structured consumer population ('Daphnia') and an unstructured resource ('algae'). The discrete, size and age-structured Daphnia population changes through births and deaths of its individuals and through their aging and growth. The birth and death rates depend on the sizes of the individuals and on the concentration of the algae. The latter is supposed to be a continuous variable with a deterministic dynamics that depends on the Daphnia population. In this model setting we prove that when the Daphnia population is large, the stochastic differential equation descrining the IBM can be approximated by the delay equation featured in (Diekmann et al., loc. cit.). |
| 主题 | Evolution and Ecology (EEP)
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| URL | http://pure.iiasa.ac.at/id/eprint/10220/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/125860
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推荐引用方式
GB/T 7714 |
Metz JAJ,Tran VC. Daphnias: From the individual based model to the large population equation.. 2012.
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文件名：
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IR-12-055.pdf
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格式：
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Adobe PDF
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