Definitions of invasive:

• adjective:   marked by a tendency to spread especially into healthy tissue

  Example: "Invasive cancer cells"

• adjective:   relating to a technique in which the body is entered by puncture or incision
• adjective:   gradually intrusive without right or permission

  Example: "Invasive tourists"

• adjective:   involving invasion or aggressive attack

  Example: "Invasive war"