  We use the breakup absorption model to simultaneously describe the measured
cross-sections of the Complete fusion (CF), Incomplete fusion (ICF), and Total
fusion (TF) in nuclear reactions induced by weakly bound nuclei $^{6,7}$Li on
$^{209}$Bi and $^{198}$Pt targets. The absorption cross-sections are calculated
using the Continuum Discretized Coupled Channels (CDCC) method with different
choices of short range imaginary potentials to get the ICF, CF and TF
cross-sections. It is observed that the cross-sections for
deuteron-ICF/deuteron-capture are of similar magnitude as the
$\alpha$-ICF/$\alpha$-capture, in case of $^{6}$Li projectile, while the
cross-sections for triton-ICF/triton-capture is more dominant than
$\alpha$-ICF/$\alpha$-capture in case of $^{7}$Li projectile. Both these
observations are also corroborated by the experimental data. The ratio of ICF
to TF cross-sections, which defines the value of fusion suppression factor is
found to be in agreement with the data available from the literature. The
cross-section ratio of CF/TF and ICF/TF show opposite behavior, the former
decreases while the latter increases as the energy is lowered, which shows the
dominance of ICF at below barrier energies. We have also studied the
correlation of the ICF cross-sections with the non-capture breakup (NCBU)
cross-sections as a function of energy, which shows that the NCBU is more
significant than ICF at below barrier energies.
