D. Alves et Jf. Fontanari, POPULATION-GENETICS APPROACH TO THE QUASI-SPECIES MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 4048-4053
A population genetics formulation of Eigen's molecular quasispecies mo
del [Naturwissenchaften 58, 465 (1971)] is proposed and several simple
replication landscapes are investigated analytically. Our results sho
w a remarkable similarity to those obtained with the original kinetics
formulation of the quasispecies model. However, due to the simplicity
of our approach, the space of the parameters that define the model ca
n be thoroughly explored. In particular, for the single-sharp-peak lan
dscape our analysis yields some interesting predictions such as the ex
istence of a maximum peak height and a minimum molecule length for the
onset of the error threshold transition.