  Total (complete + incomplete) fusion excitation functions of $^{6,7}$Li on
$^{59}$Co and $^{209}$Bi targets around the Coulomb barrier are obtained using
a new continuum discretized coupled channel (CDCC) method of calculating
fusion. The relative importance of breakup and bound-state structure effects on
total fusion is particularly investigated. The effect of breakup on fusion can
be observed in the total fusion excitation function. The breakup enhances the
total fusion at energies just around the barrier, whereas it hardly affects the
total fusion at energies well above the barrier. The difference between the
experimental total fusion cross sections for $^{6,7}$Li on $^{59}$Co is notably
caused by breakup, but this is not the case for the $^{209}$Bi target.
