A model for total cross-sections incorporating QCD jet cross-sections and soft gluon resummation is described and compared with present data on pp and {\bar p}p cross-sections. Predictions for LHC are presented for different parameter sets. It is shown that they differ according to the small \hbox {x-behaviour} of available parton density functions.

PACS numbers: 12.38.--t, 12.40.Nn, 13.60.Hb, 13.85.Lg