Rigorous Mathematical Analysis of the Quasispecies Model: From Manfred Eigen to the Recent Developments

  title={Rigorous Mathematical Analysis of the Quasispecies Model: From Manfred Eigen to the Recent Developments},
  author={A. S. Bratus and Artem S. Novozhilov and Yuri S Semenov},
  journal={STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics \& Health},
We review the major progress in the rigorous analysis of the classical quasispecies model that usually comes in two related but different forms: the Eigen model and the Crow–Kimura model. The model itself was formulated almost 50 years ago, and in its stationary form represents an easy to formulate eigenvalue problem. Notwithstanding the simplicity of the problem statement, we still lack full understanding of the behavior of the mean population fitness and the quasispecies distribution for an… 
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    Proceedings of the National Academy of Sciences of the United States of America
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