  We have analyzed a nonsingular model with a variable cosmological term
following the Carvalho {\it et al}. ansatz. The model was shown to approximate
to the model of Freese {\it et al}. in one direction and to the \"{O}zer-Taha
in the other. We have then included the effect of viscosity in this cosmology,
as this effect has not been considered before. The analysis showed that this
viscous effect could be important with a present contribution to the cosmic
pressure, at most, of order of that of radiation. The model puts a stronger
upper bound on the baryonic matter than that required by the standard model. A
variable gravitational and cosmological constant were then introduced in a
scenario which conserves the energy and momentum in the presence of bulk
viscosity. The result of the analysis reveals that various models could be
viscous. A noteworthy result is that some nonsingular closed models evolve
asymptotically into a singular viscous one. The considered models solve for
many of the standard model problems. Though the introduction of bulk viscosity
results in the creation of particles, this scenario conserves energy and
momentum. As in the standard model the entropy remains constant. We have not
explained the generation of bulk viscosity but some workers attributes this to
neutrinos. Though the role of viscosity today is minute it could, nevertheless,
have had an important contribution at early times. We have shown that these
models encompass many of the old and recently proposed models, in particular,
Brans-Dicke, Dirac, Freese {\it et al}., Berman, Abdel Rahman and Kalligas {\it
et al}. models. Hence we claim that the introduction of bulk viscosity enriches
the adopted cosmology.
