Function-valued adaptive dynamics and the calculus of variations.

@article{Parvinen2006FunctionvaluedAD,
  title={Function-valued adaptive dynamics and the calculus of variations.},
  author={Kalle Parvinen and Ulf Dieckmann and Mikko Heino},
  journal={Journal of mathematical biology},
  year={2006},
  volume={52 1},
  pages={1-26}
}
Adaptive dynamics has been widely used to study the evolution of scalar-valued, and occasionally vector-valued, strategies in ecologically realistic models. In many ecological situations, however, evolving strategies are best described as function-valued, and thus infinite-dimensional, traits. So far, such evolution has only been studied sporadically, mostly based on quantitative genetics models with limited ecological realism. In this article we show how to apply the calculus of variations to… CONTINUE READING

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