  We study the impact of collisionally inhomogeneous binary and three body
interaction on Bose-Einstein condensates (BECs) of a dilute gas in a
bichromatic optical lattice. We observe that the localized matter wave density
which decreases after the introduction of repulsive spatially inhomogeneous
binary interaction can be sustained by the addition of constant attractive
binary strength in equal amounts. If the balance between repulsive spatially
inhomogeneous binary interaction and constant attractive interaction is
disturbed, the condensates collapse. Reversal of sign of interaction ensures
the longevity of BECs. Any imbalance between attractive spatially inhomogeneous
interaction and constant repulsive interaction either results in the collapse
of BECs or in the occupation of the condensates at multiple sites on either
sides. The introduction of a weak three body interaction in phase with the
binary interaction increases the extent of instability of BECs. Reversing the
sign of spatially inhomogeneous and constant interaction enhances the stability
of BECs.
