Solvable biological evolution model with a parallel mutation-selection scheme.
Based on the connection between a quantum spin model and an asexual biological evolution model with a single-peak fitness function in parallel mutation-selection scheme, we solve exactly both static and dynamics of the evolution model. We find that relaxation in such a parallel scheme is faster than that in a connected scheme of Eigen model. Our method can also be extended to other fitness functions.
Saakian
David B
DB
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Hu
Chin-Kun
CK