[Follow-on to thread in http://forums.wolfram.com/student-support/topics/26124, etc. -Forum Moderator.]
Figured it out...
See attached notebook. New code for keeping track of timesteps and multiple simulations is highlighted in yellow (with comments). A loop wasn’t needed, just getting the placement of resetting the model and restricting when/how many times it runs.
Attachment: Pred-Prey (multi sims).nb, URL: ,