  Recently a computational model has been proposed of the social integration,
as described in sociological terms by Peter Blau. In this model, actors praise
or critique each other, and these actions influence their social status and
raise negative or positive emotions. The role of a self-deprecating strategy of
actors with high social status has also been discussed there. Here we develop a
mean field approach, where the active and passive roles (praising and being
praised, etc.) are decoupled. The phase transition from friendly to hostile
emotions has been reproduced, similarly to the previously applied purely
computational approach. For both phases, we investigate the time dependence of
the distribution of social status. There we observe a diffusive spread, which -
after some transient time - appears to be limited from below or from above,
depending on the phase. As a consequence, the mean status flows.
