  We derive exact Langevin-type equations governing quasispecies dynamics. The
inherent multiplicative noise has both real and imaginary parts. The numerical
simulation of the underlying complex stochastic partial differential equations
is carried out employing the Cholesky decomposition for the noise covariance
matrix. This noise produces unavoidable spatio-temporal density fluctuations
about the mean field value. In two dimensions, the fluctuations are suppressed
only when the diffusion time scale is much smaller than the amplification time
scale for the master species.
