全球智库信息集成服务系统(G2TT): Function-valued adaptive dynamics and optimal control theory.

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来源类型	Article
规范类型	其他
DOI	10.1007/s00285-012-0549-2
	Function-valued adaptive dynamics and optimal control theory.
	Parvinen K; Heino M; Dieckmann U
发表日期	2013
出处	Journal of Mathematical Biology 67 (3): 509-533
出版年	2013
语种	英语
摘要	In this article we further develop the theory of adaptive dynamics of function-valued traits. Previous work has concentrated on models for which invasion fitness can be written as an integral in which the integrand for each argument value is a function of the strategy value at that argument value only. For this type of models of direct effect, singular strategies can be found using the calculus of variations, with singular strategies needing to satisfy Euler's equation with environmental feedback. In broader, more mechanistically oriented class of models, the function-valued strategy affects a process described by differential equations, and fitness can be expressed as an integral in which the integrand for each argument value depends both on the strategy and on process variables at that argument value. In general, the calculus of variations cannot help analyzing this much broader class of models. Here we explain how to find singular strategies in this class of process-mediated models using optimal control theory. In particular, we show that singular strategies need to satisfy Pontryagin's maximum principle with environmental feedback. We demonstrate the utility of this approach by studying the evolution of strategies determining seasonal flowering schedules.
主题	Evolution and Ecology (EEP)
关键词	Adaptive dynamics Environmental feedback Function-valued traits Pontryagin's maximum principle Theory of optimal control
URL	http://pure.iiasa.ac.at/id/eprint/10366/
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/129702
推荐引用方式 GB/T 7714	Parvinen K,Heino M,Dieckmann U. Function-valued adaptive dynamics and optimal control theory.. 2013.