  The $\alpha$-decay chains of $^{288-287}115$ are studied along with the
possible cluster decay modes by using the preformed cluster model (PCM). The
calculated $\alpha$-decay half-lives are compared with experimental data and
other model calculations. The calculated Q-values, penetration probabilities
and preformation probabilities factors for $\alpha$-decay suggest that
$^{283}_{170}113$,$^{287}_{172}115$ and $^{272}_{165}107$ parent nuclei are
more stable against the $\alpha$-decay. These alpha decay chains are further
explored for the possibilities of cluster decay. Decay half lives of different
cluster from different nuclei of the decay chains point to the extra stability
near or at the deformed shells Z=108, N=162 and Z=100, N=152. The decay
half-lives for $^{14}C$ and $^{48}Ca$ clusters are lower than the current
experimental limit ($\approx$ $10^{28}$sec).
