If you are attacked, heaven forbid it actually happening, and do not survive, then you did not survive. Sort of repetitive and obvious. You were perhaps not strong enough to defend yourself. If you survived an attack, then great, better. To survive an attack is generally good. Surviving an attack is generally good. Surviving an attack is generally seen as showing strength. Surviving more than one attack is generally seen as strength. Surviving attacks is generally seen as strength. I assumed that you wanted an intuitive, natural answer. Below might be a technical, if less-intuitive, response. :)

Assume you know what "attack" means. https://www.lexico.com/definition/survive Sense 1.1 (subordinated to sense 1)

"surviving attacks on your life" probably means someone has attempted to kill or assassinate you, but they were not successful and you survived.