The total cross-section and the jet cross-section differ at a proton-proton collision. The latter is divergent if arbitrarily small transverse momenta are allowed. Even with some fixed lower pt cutoff, increases the jet cross-section much faster than the total cross-section at high energies. We have in this paper studied how the divergence could be tamed by colour screening effects among the partons. To do this we have built a proton model where we assign momenta, positions and colour-charge to all partons in the proton. We find that the relative behaviour of the cross-section can be better understood by the inclusion of this effect.