Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape

Satya N. Majumdar 2, David S. Dean 1

Journal of Statistical Mechanics: Theory and Experiment (2006) L07001

A simplified form of the quasispecies model of biological evolution is solved via a mapping onto a random flux model whose asymptotic behavior can be described in terms of a random walk. The statistics of the number of changes of the dominant species from a finite set of genotypes are exactly obtained confirming existing conjectures based on numerics.

  • 1. Laboratoire de Physique Théorique - IRSAMC (LPT),
    CNRS : UMR5152 – Université Paul Sabatier - Toulouse III
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud