  A recently constructed strangeness-including Statistical Bootstrap Model
(S-SBM), which defines the limits of the hadronic phase and provides for a
phase beyond, is further extended so as to include a factor that describes
strangeness suppression. The model is then used to analyse the multiplicity
data from collision experiments in which the colliding entities form isospin
symmetric systems, the primary focus being on S+S interactions (NA35
collaboration). An optimal set of thermodynamical variables is extracted
through a fit to both the inclusive full phase space and midrapidity data. The
assumption that the measured particles originate from a thermally and
partial-chemically equilibrated source described by the S-SBM is satisfactorily
established. The proximity of the thermodynamical variables extracted from the
S+S data to the limits of the hadronic phase is systematically investigated.
Finally, experimental data from proton-antiproton collisions (UA5
collaboration) are similarly analysed.
