  Binary merging constitutes a complementary mode of galaxy evolution to the
canonical hierarchical clustering theory. This merger-driven evolution not only
influences the galaxy mass distribution function, but may drive the main
galactic activity cycles, such as starbursts and the activity in the nuclei
(AGNs). In this paper, we use galaxy aggregation dynamics together with a
possible merger-driven starburst and AGN phenomena, to study the effects of
evlution of these consequential activities for the faint IRAS source counts and
the infra-red background. We find that the strong evolution of IRAS 60$ \mu m$
source count at flux range of $10 mJy \sim 1 Jy$ is difficult to be explained
only by the merger rate decrease with cosmic time. We need to assume a redshift
dependent infrared burst phase of ultraluminous infrared galaxies (ULIGs) from
the gas rich mergers at high redshift and the gas poor mergers at low redshift.
The background intensity at 60$ \mu m$ which we get from this aggregation
evolution is a lower limit of only $1.9 nW m^{-2} sr^{-1}$, about half of those
estimated by some previous models, but close to the lower end of the range
derived by Malkan & Stecker (1998).
