Synonyms for Invasive (same or very similar meaning)
WordNet sense 1 (involving invasion or aggressive attack):
incursive, invading
WordNet sense 2 (gradually intrusive without right or permission):
encroaching, trespassing
WordNet sense 3 (tending to intrude (especially upon privacy)):
intrusive
WordNet sense 4 (for the purpose of attack rather than defense):
offensive
WordNet sense 5 (tending to spread quickly):
aggressive
From the ODE community, based on WordNet
add/edit