ABSTRACT: We consider a random walk system on Z in which each active particle performs an asymmetric simple random walk and activates all inactive particles it encounters. The movement of an active particle stops when it reaches a certain number of jumps without activating any particle. We prove that if the process counts on efficient particles (small probability of jumping to the left) placed strategically on Z , the process might survive, having active particles at any time with positive probability. On the other hand, we may construct a process that dies out eventually almost surely, even counting on efficient particles. That is, we discuss what happens if particles are placed initially very far away from each other or if their probability of jumping to the right tends to 1 but not fast enough.