中文版 | English
G2TT
来源类型Article
规范类型其他
DOI10.1007/s00285-012-0619-5
Daphnias: From the individual based model to the large population equation.
Metz JAJ; Tran VC
发表日期2013
出处Journal of Mathematical Biology 66 (4): 915-933
出版年2013
语种英语
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 interaction 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 describing the IBM can be approximated by the delay equation featured in (Diekmann et al., loc. cit.).
主题Evolution and Ecology (EEP)
关键词Birth and death process Age and size-structured populations Stochastic interacting particle systems Piecewise deterministic motion Large population limits
URLhttp://pure.iiasa.ac.at/id/eprint/10515/
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/129822
推荐引用方式
GB/T 7714		 Metz JAJ,Tran VC. Daphnias: From the individual based model to the large population equation.. 2013.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Metz JAJ]的文章
[Tran VC]的文章
百度学术
百度学术中相似的文章
[Metz JAJ]的文章
[Tran VC]的文章
必应学术
必应学术中相似的文章
[Metz JAJ]的文章
[Tran VC]的文章
相关权益政策
暂无数据
收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。