In traditional notions of computing, processes that arbitrarily seek out and destroy other running processes in order to liberate computing potential - and thereby be able to spawn and run more copies of themselves - would be considered errant and malicious processes. Living processes within a computing system would seem intrinsically to violate the goal of having the computer serve the interests of the user, unless the sole purpose of the computer becomes providing the user with entertainment through the user being able to watch the life system evolve and play itself out.
As a user of a computer that hosts living processes, you would either try desperately to battle back the troublesome living processes in order to ensure that the computer serves needs in your environment external to the computer's system, or you might simply resign yourself to sitting back and observing passively as the life system evolves. You might even engage, in some way, as a high level influence over the living systems and be entertained by the manner in which you are able to interact with the living processes and shape the course of this life system as it plays out.