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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1007/s002850050104 |
On the formulation and analysis of general deterministic structured population models. I. Linear theory. | |
Diekmann O; Gyllenberg M; Metz JAJ; Thieme HR | |
发表日期 | 1998 |
出处 | Journal of Mathematical Biology 36 (4): 349-388 |
出版年 | 1998 |
语种 | 英语 |
摘要 | We define a linear physiologically structured population model by two rules, one for reproduction and one for "movement" and survival. We use these ingredients to give a constructive definition of next-population-state operators. For the autonomous case we define the basic reproduction ratio Ro and the Malthusian parameter r and we compute the resolvent in terms of the Laplace transform of the ingredients. A key feature of our approach is that unbounded operators are avoided throughout. This will facilitate the treatment of nonlinear models as a next step. |
主题 | Adaptive Dynamics Network (ADN) |
关键词 | Population dynamics Physiological structure Age structure Linear Deterministic |
URL | http://pure.iiasa.ac.at/id/eprint/5347/ |
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/127708 |
推荐引用方式 GB/T 7714 | Diekmann O,Gyllenberg M,Metz JAJ,et al. On the formulation and analysis of general deterministic structured population models. I. Linear theory.. 1998. |
条目包含的文件 | 条目无相关文件。 |
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