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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1016/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 |
URL | http://pure.iiasa.ac.at/id/eprint/6827/ |
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/128221 |
推荐引用方式 GB/T 7714 | Diekmann O,Gyllenberg M,Metz JAJ. Steady-state analysis of structured population models.. 2003. |
条目包含的文件 | 条目无相关文件。 |
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