It depends on what you mean by collective survival and what it is you think I should be responsible for. I'm responsible for my own survival. I may contribute things that help others survive (like my work in emergency medicine, for example), but I don't owe anyone my time in this position. It isn't my responsibility to keep doing it. It is my responsibility to not violate the rights of others to survive, but I'm not ultimately responsible for them.
Again, this depends on what you mean. It's a broad question.