Competition and cooperation in catalytic selfreplication

@article{Hofbauer1981CompetitionAC,
  title={Competition and cooperation in catalytic selfreplication},
  author={Josef Hofbauer and Peter Schuster and Karl Sigmund},
  journal={Journal of Mathematical Biology},
  year={1981},
  volume={11},
  pages={155-168}
}
It is shown that in a flow reactor, hypercyclic coupling of self-reproducing macromolecular species leads to cooperation, i.e. none of the concentrations will vanish. On the other hand, autocatalytic selfreproducing macromolecules usually compete, and the number of surving species increases with the total concentration. Both results are proved under very general assumptions concerning the growth rates. 

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