A new theoretical model, which includes density and temperature gradie
nts and impurity radiation effects, for the edge turbulence in high- a
nd low-density tokamaks is established on the magnetohydrodynamics. Th
e different drive effects in the turbulent evolution are discussed and
the mechanism of nonlinear saturation is investigated. The fluctuatio
n levels and the associated diffusion coefficients at the turbulent sa
turation state are analytically given. The theoretical results are in
agreement with the experimental observations on both high- and low-den
sity tokamaks.