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来源类型Article
规范类型其他
DOI10.1016/S0040-5809(02)00058-8
Steady-state analysis of structured population models.
Diekmann O; Gyllenberg M; Metz JAJ
发表日期2003
出处Theoretical Population Biology 63 (4): 309-338
出版年2003
语种英语
摘要Our systematic formulation of nonlinear population models is based on the notion of the environmental condition. The defining property of the environmental condition is that individuals are independent of one another (and hence equations are linear) when this condition is prescribed (in principle as an arbitrary function of time, but when focussing on steady states we shall restrict to constant functions). The steady-state problem has two components: (i) the environmental condition should be such that the existing populations do neither grow nor decline; (ii) a feedback consistency condition relating the environmental condition to the community/population size and composition should hold. In this paper we develop, justify and analyse basic formalism under the assumption that individuals can be born in only finitely many possible states and that the environmental condition is fully characterized by finitely many numbers. The theory is illustrated by many examples. In addition to various simple toy models introduced for explanation purposes, these include a detailed elaboration of a cannibalism model and a general treatment of how genetic and physiological structure should be combined in a single model.
主题Adaptive Dynamics Network (ADN)
关键词Population dynamics Physiological structure Nonlinear Feedback via the environment Deterministic at population level Cannibalism Finitely many states at birth Population genetics Adaptive dynamics Competitive exclusion
URLhttp://pure.iiasa.ac.at/id/eprint/6827/
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/128221
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Diekmann O,Gyllenberg M,Metz JAJ. Steady-state analysis of structured population models.. 2003.
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