G2TT
来源类型Article
规范类型其他
DOI10.1007/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
URLhttp://pure.iiasa.ac.at/id/eprint/5347/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/127708
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Diekmann O,Gyllenberg M,Metz JAJ,et al. On the formulation and analysis of general deterministic structured population models. I. Linear theory.. 1998.
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